C++大数模板

#include<bits/stdc++.h>
using namespace std;
#define maxn 120
class DividedByZeroException {};

class BigInteger
{
private:
    vector<char> digits;
    bool sign;          //  true for positive, false for negitive
    void trim();        //  remove zeros in tail, but if the value is 0, keep only one:)
public:
    BigInteger(int);    // construct with a int integer
    BigInteger(string&) ;
    BigInteger();
    BigInteger (const BigInteger&);
    BigInteger operator=(const BigInteger& op2);

    BigInteger      abs() const;
    BigInteger    pow(int a);

    //binary operators

    friend BigInteger operator+=(BigInteger&,const BigInteger&);
    friend BigInteger operator-=(BigInteger&,const BigInteger&);
    friend BigInteger operator*=(BigInteger&,const BigInteger&);
    friend BigInteger operator/=(BigInteger&,const BigInteger&) throw(DividedByZeroException);
    friend BigInteger operator%=(BigInteger&,const BigInteger&) throw(DividedByZeroException);

    friend BigInteger operator+(const BigInteger&,const BigInteger&);
    friend BigInteger operator-(const BigInteger&,const BigInteger&);
    friend BigInteger operator*(const BigInteger&,const BigInteger&);
    friend BigInteger operator/(const BigInteger&,const BigInteger&) throw(DividedByZeroException);
    friend BigInteger operator%(const BigInteger&,const BigInteger&) throw(DividedByZeroException);


    //uniary operators
    friend BigInteger operator-(const BigInteger&);   //negative

    friend BigInteger operator++(BigInteger&);        //++v
    friend BigInteger operator++(BigInteger&,int);    //v++
    friend BigInteger operator--(BigInteger&);        //--v
    friend BigInteger operator--(BigInteger&,int);    //v--

    friend bool operator>(const BigInteger&,const BigInteger&);
    friend bool operator<(const BigInteger&,const BigInteger&);
    friend bool operator==(const BigInteger&,const BigInteger&);
    friend bool operator!=(const BigInteger&,const BigInteger&);
    friend bool operator>=(const BigInteger&,const BigInteger&);
    friend bool operator<=(const BigInteger&,const BigInteger&);

    friend ostream& operator<<(ostream&,const BigInteger&);    //print the BigInteger
    friend istream& operator>>(istream&, BigInteger&);         // input the BigInteger

public:
    static const BigInteger ZERO;
    static const BigInteger ONE;
    static const BigInteger TEN;
};
// BigInteger.cpp

const BigInteger BigInteger::ZERO=BigInteger(0);
const BigInteger BigInteger::ONE =BigInteger(1);
const BigInteger BigInteger::TEN =BigInteger(10);


BigInteger::BigInteger()
{
    sign=true;
}


BigInteger::BigInteger(int val) // construct with a int integer
{
    if (val >= 0)
        sign = true;
    else
    {
        sign = false;
        val *= (-1);
    }
    do
    {
        digits.push_back( (char)(val%10) );
        val /= 10;
    }
    while ( val != 0 );
}


BigInteger::BigInteger(string& def)
{
    sign=true;
    for ( string::reverse_iterator iter = def.rbegin() ; iter < def.rend();  iter++)
    {
        char ch = (*iter);
        if (iter == def.rend()-1)
        {
            if ( ch == '+' )
                break;
            if(ch == '-' )
            {
                sign = false;
                break;
            }
        }
        digits.push_back( (char)((*iter) - '0' ) );
    }
    trim();
}

void BigInteger::trim()
{
    vector<char>::reverse_iterator iter = digits.rbegin();
    while(!digits.empty() && (*iter) == 0)
    {
        digits.pop_back();
        iter=digits.rbegin();
    }
    if( digits.size()==0 )
    {
        sign = true;
        digits.push_back(0);
    }
}


BigInteger::BigInteger(const BigInteger& op2)
{
    sign = op2.sign;
    digits=op2.digits;
}


BigInteger BigInteger::operator=(const BigInteger& op2)
{
    digits = op2.digits;
    sign = op2.sign;
    return (*this);
}


BigInteger BigInteger::abs() const
{
    if(sign)  return *this;
    else      return -(*this);
}

BigInteger BigInteger::pow(int a)
{
    BigInteger res(1);
    for(int i=0; i<a; i++)
        res*=(*this);
    return res;
}

//binary operators
BigInteger operator+=(BigInteger& op1,const BigInteger& op2)
{
    if( op1.sign == op2.sign )
    {
        //Ö»´¦ÀíÏàͬµÄ•ûºÅµÄÇé¿ö£¬ÒìºÅµÄÇé¿ö¸ø-´¦Àí
        vector<char>::iterator iter1;
        vector<char>::const_iterator iter2;
        iter1 = op1.digits.begin();
        iter2 = op2.digits.begin();
        char to_add = 0;        //½øλ
        while ( iter1 != op1.digits.end() && iter2 != op2.digits.end())
        {
            (*iter1) = (*iter1) + (*iter2) + to_add;
            to_add = ((*iter1) > 9);    // ´óÓÚ9½øһλ
            (*iter1) = (*iter1) % 10;
            iter1++;
            iter2++;
        }
        while ( iter1 != op1.digits.end() )    //
        {
            (*iter1) = (*iter1) + to_add;
            to_add = ( (*iter1) > 9 );
            (*iter1) %= 10;
            iter1++;
        }
        while ( iter2 != op2.digits.end() )
        {
            char val = (*iter2) + to_add;
            to_add = (val > 9) ;
            val %= 10;
            op1.digits.push_back(val);
            iter2++;
        }
        if( to_add != 0 )
            op1.digits.push_back(to_add);
        return op1;
    }
    else
    {
        if (op1.sign)
            return op1 -= (-op2);
        else
            return op1= op2 - (-op1);
    }

}

BigInteger operator-=(BigInteger& op1,const BigInteger& op2)
{
    if( op1.sign == op2.sign )
    {
        //Ö»´¦ÀíÏàͬµÄ•ûºÅµÄÇé¿ö£¬ÒìºÅµÄÇé¿ö¸ø+´¦Àí
        if(op1.sign)
        {
            if(op1 < op2)  // 2 - 3
                return  op1=-(op2 - op1);
        }
        else
        {
            if(-op1 > -op2)  // (-3)-(-2) = -(3 - 2)
                return op1=-((-op1)-(-op2));
            else             // (-2)-(-3) = 3 - 2
                return op1= (-op2) - (-op1);
        }
        vector<char>::iterator iter1;
        vector<char>::const_iterator iter2;
        iter1 = op1.digits.begin();
        iter2 = op2.digits.begin();

        char to_substract = 0;  //½èλ

        while ( iter1 != op1.digits.end() && iter2 != op2.digits.end())
        {
            (*iter1) = (*iter1) - (*iter2) - to_substract;
            to_substract = 0;
            if( (*iter1) < 0 )
            {
                to_substract=1;
                (*iter1) += 10;
            }
            iter1++;
            iter2++;
        }
        while ( iter1 != op1.digits.end() )
        {
            (*iter1) = (*iter1) - to_substract;
            to_substract = 0;
            if( (*iter1) < 0 )
            {
                to_substract=1;
                (*iter1) += 10;
            }
            else break;
            iter1++;
        }
        op1.trim();
        return op1;
    }
    else
    {
        if (op1 > BigInteger::ZERO)
            return op1 += (-op2);
        else
            return op1 = -(op2 + (-op1));
    }
}
BigInteger operator*=(BigInteger& op1,const BigInteger& op2)
{
    BigInteger result(0);
    if (op1 == BigInteger::ZERO || op2==BigInteger::ZERO)
        result = BigInteger::ZERO;
    else
    {
        vector<char>::const_iterator iter2 = op2.digits.begin();
        while( iter2 != op2.digits.end() )
        {
            if(*iter2 != 0)
            {
                deque<char> temp(op1.digits.begin() , op1.digits.end());
                char to_add = 0;
                deque<char>::iterator iter1 = temp.begin();
                while( iter1 != temp.end() )
                {
                    (*iter1) *= (*iter2);
                    (*iter1) += to_add;
                    to_add = (*iter1) / 10;
                    (*iter1) %= 10;
                    iter1++;
                }
                if( to_add != 0)
                    temp.push_back( to_add );
                int num_of_zeros = iter2 - op2.digits.begin();
                while(  num_of_zeros--)
                    temp.push_front(0);
                BigInteger temp2;
                temp2.digits.insert( temp2.digits.end() , temp.begin() , temp.end() );
                temp2.trim();
                result = result + temp2;
            }
            iter2++;
        }
        result.sign = ( (op1.sign && op2.sign) || (!op1.sign && !op2.sign) );
    }
    op1 = result;
    return op1;
}

BigInteger operator/=(BigInteger& op1 , const BigInteger& op2 ) throw(DividedByZeroException)
{
    if( op2 == BigInteger::ZERO )
        throw DividedByZeroException();
    BigInteger t1 = op1.abs(), t2 = op2.abs();
    if ( t1 < t2 )
    {
        op1 = BigInteger::ZERO;
        return op1;
    }
    //ÏÖÔÚ t1 > t2 > 0
    //Ö»Ð轫 t1/t2µÄ½á¹û½»¸øresult¾Í¿ÉÒÔÁË
    deque<char> temp;
    vector<char>::reverse_iterator iter = t1.digits.rbegin();

    BigInteger temp2(0);
    while( iter != t1.digits.rend() )
    {
        temp2 = temp2 * BigInteger::TEN + BigInteger( (int)(*iter) );
        char s = 0;
        while( temp2 >= t2 )
        {
            temp2 = temp2 - t2;
            s = s + 1;
        }
        temp.push_front( s );
        iter++;
    }
    op1.digits.clear();
    op1.digits.insert( op1.digits.end() , temp.begin() , temp.end() );
    op1.trim();
    op1.sign = ( (op1.sign && op2.sign) || (!op1.sign && !op2.sign) );
    return op1;
}

BigInteger operator%=(BigInteger& op1,const BigInteger& op2) throw(DividedByZeroException)
{
    return op1 -= ((op1 / op2)*op2);
}

BigInteger operator+(const BigInteger& op1,const BigInteger& op2)
{
    BigInteger temp(op1);
    temp += op2;
    return temp;
}
BigInteger operator-(const BigInteger& op1,const BigInteger& op2)
{
    BigInteger temp(op1);
    temp -= op2;
    return temp;
}

BigInteger operator*(const BigInteger& op1,const BigInteger& op2)
{
    BigInteger temp(op1);
    temp *= op2;
    return temp;

}

BigInteger operator/(const BigInteger& op1,const BigInteger& op2) throw(DividedByZeroException)
{
    BigInteger temp(op1);
    temp /= op2;
    return temp;
}

BigInteger operator%(const BigInteger& op1,const BigInteger& op2) throw(DividedByZeroException)
{
    BigInteger temp(op1);
    temp %= op2;
    return temp;
}

//uniary operators
BigInteger operator-(const BigInteger& op)    //negative
{
    BigInteger temp = BigInteger(op);
    temp.sign = !temp.sign;
    return temp;
}

BigInteger operator++(BigInteger& op)     //++v
{
    op += BigInteger::ONE;
    return op;
}

BigInteger operator++(BigInteger& op,int x)   //v++
{
    BigInteger temp(op);
    ++op;
    return temp;
}

BigInteger operator--(BigInteger& op)     //--v
{
    op -=  BigInteger::ONE;
    return op;
}

BigInteger operator--(BigInteger& op,int x)   //v--
{
    BigInteger temp(op);
    --op;
    return temp;
}

bool operator<(const BigInteger& op1,const BigInteger& op2)
{
    if( op1.sign != op2.sign )
        return !op1.sign;
    else
    {
        if(op1.digits.size() != op2.digits.size())
            return (op1.sign && op1.digits.size()<op2.digits.size())
                   || (!op1.sign && op1.digits.size()>op2.digits.size());
        vector<char>::const_reverse_iterator iter1,iter2;
        iter1 = op1.digits.rbegin();
        iter2 = op2.digits.rbegin();
        while( iter1 != op1.digits.rend() )
        {
            if(  op1.sign &&  *iter1 < *iter2 ) return true;
            if(  op1.sign &&  *iter1 > *iter2 ) return false;
            if( !op1.sign &&  *iter1 > *iter2 ) return true;
            if( !op1.sign &&  *iter1 < *iter2 ) return false;
            iter1++;
            iter2++;
        }
        return false;
    }
}
bool operator==(const BigInteger& op1,const BigInteger& op2)
{
    if( op1.sign != op2.sign  || op1.digits.size() != op2.digits.size() )
        return false;
    vector<char>::const_iterator iter1,iter2;
    iter1 = op1.digits.begin();
    iter2 = op2.digits.begin();
    while( iter1!= op1.digits.end() )
    {
        if( *iter1 != *iter2 )  return false;
        iter1++;
        iter2++;
    }
    return true;
}

bool operator!=(const BigInteger& op1,const BigInteger& op2)
{
    return !(op1==op2);
}

bool operator>=(const BigInteger& op1,const BigInteger& op2)
{
    return (op1>op2) || (op1==op2);
}

bool operator<=(const BigInteger& op1,const BigInteger& op2)
{
    return (op1<op2) || (op1==op2);
}

bool operator>(const BigInteger& op1,const BigInteger& op2)
{
    return !(op1<=op2);
}

ostream& operator<<(ostream& stream,const BigInteger& val)     //print the BigInteger
{
    if (!val.sign)
        stream << "-";
    for ( vector<char>::const_reverse_iterator iter = val.digits.rbegin(); iter != val.digits.rend() ; iter++)
        stream << (char)((*iter) + '0');
    return stream;
}

istream& operator>>(istream& stream, BigInteger& val)
{
    //Input the BigInteger
    string str;
    stream >> str;
    val=BigInteger(str);
    return stream;
}

char s[150];
int num[150];
BigInteger fac[150];

BigInteger gcd(BigInteger a,BigInteger b)
{
	if(b==0) return a;
	return gcd(b,a%b);
}

int main()
{
	int n;
	fac[0]=1;
	for(int i=1;i<=100;i=i+1)
	fac[i]=fac[i-1]*i;
	scanf("%d%s",&n,s);
	for(int i=0;i<n;i++)
	num[s[i]-'A']=num[s[i]-'A']+1;
	BigInteger A=1;
    for(int i=0;i<26;i=i+1)
	{
		A*=fac[num[i]];
	}
	BigInteger B=fac[n];
	
	BigInteger g=gcd(A,B);
	
	cout<<A/g<<"/"<<B/g<<endl;
	
	return 0;
}

#include <cstdio>
#include <cstring>
#include <iostream>
#include <algorithm>
using namespace std;
typedef long long ll;

/*
 * 完全大数模板
 * 输出cin>>a
 * 输出a.print();
 * 注意这个输入不能自动去掉前导0的，可以先读入到char数组，去掉前导0，再用构造函数。
 * by kuangbin GG.
 */
#define MAXN 9999
#define MAXSIZE 1010
#define DLEN 4

class BigNum
{
    private:
        int a[5000]; //可以控制大数的位数
        int len;
    public:
        BigNum(){len=1;memset(a,0,sizeof(a));} //构造函数
        BigNum(const ll); //将一个int类型的变量转化成大数
        BigNum(const char*); //将一个字符串类型的变量转化为大数
        BigNum(const BigNum &); //拷贝构造函数
        BigNum &operator=(const BigNum &); //重载赋值运算符，大数之间进行赋值运算
        friend istream& operator>>(istream&,BigNum&); //重载输入运算符
        friend ostream& operator<<(ostream&,BigNum&); //重载输出运算符
        BigNum operator+(const BigNum &)const; //重载加法运算符，两个大数之间的相加运算
        BigNum operator-(const BigNum &)const; //重载减法运算符，两个大数之间的相减运算
        BigNum operator*(const BigNum &)const; //重载乘法运算符，两个大数之间的相乘运算
        BigNum operator/(const int &)const; //重载除法运算符，大数对一个整数进行相除运算

        BigNum operator^(const int &)const; //大数的n次方运算
        int operator%(const int &)const; //大数对一个int类型的变量进行取模运算
        bool operator>(const BigNum &T)const; //大数和另一个大数的大小比较
        bool operator>(const int &t)const; //大数和一个int类型的变量的大小比较
        void print(); //输出大数
};
BigNum::BigNum(const ll b) //将一个int类型的变量转化为大数
{
    ll c,d=b;
    len=0;
    memset(a,0,sizeof(a));
    while(d>MAXN)
    {
        c=d-(d/(MAXN+1))*(MAXN+1);
        d=d/(MAXN+1);
        a[len++]=c;
    }
    a[len++]=d;
}
BigNum::BigNum(const char *s) //将一个字符串类型的变量转化为大数
{
    int t,k,index,L,i;
    memset(a,0,sizeof(a));
    L=strlen(s);
    len=L/DLEN;
    if(L%DLEN)len++;
    index=0;
    for(i=L-1;i>=0;i-=DLEN)
    {
        t=0;
        k=i-DLEN+1;
        if(k<0)k=0;
        for(int j=k;j<=i;j++)
            t=t*10+s[j]-'0';
        a[index++]=t;
    }
}
BigNum::BigNum(const BigNum &T):len(T.len) //拷贝构造函数
{
    int i;
    memset(a,0,sizeof(a));
    for(i=0;i<len;i++)
        a[i]=T.a[i];
}
BigNum & BigNum::operator=(const BigNum &n) //重载赋值运算符，大数之间赋值运算
{
    int i;
    len=n.len;
    memset(a,0,sizeof(a));
    for(i=0;i<len;i++)
        a[i]=n.a[i];
    return *this;
}
istream& operator>>(istream &in,BigNum &b)
{
    char ch[MAXSIZE*4];
    int i=-1;
    in>>ch;
    int L=strlen(ch);
    int count=0,sum=0;
    for(i=L-1;i>=0;)
    {
        sum=0;
        int t=1;
        for(int j=0;j<4&&i>=0;j++,i--,t*=10)
        {
            sum+=(ch[i]-'0')*t;
        }
        b.a[count]=sum;
        count++;
    }
    b.len=count++;
    return in;
}
ostream& operator<<(ostream& out,BigNum& b) //重载输出运算符
{
    int i;
    cout<<b.a[b.len-1];
    for(i=b.len-2;i>=0;i--)
    {
        printf("%04d",b.a[i]);
    }
    return out;
}
BigNum BigNum::operator+(const BigNum &T)const //两个大数之间的相加运算
{
    BigNum t(*this);
    int i,big;
    big=T.len>len?T.len:len;
    for(i=0;i<big;i++)
    {
        t.a[i]+=T.a[i];
        if(t.a[i]>MAXN)
        {
            t.a[i+1]++;
            t.a[i]-=MAXN+1;
        }
    }
    if(t.a[big]!=0)
        t.len=big+1;
    else t.len=big;
    return t;
}
BigNum BigNum::operator-(const BigNum &T)const //两个大数之间的相减运算
{
    int i,j,big;
    bool flag;
    BigNum t1,t2;
    if(*this>T)
    {
        t1=*this;
        t2=T;
        flag=0;
    }
    else
    {
        t1=T;
        t2=*this;
        flag=1;
    }
    big=t1.len;
    for(i=0;i<big;i++)
    {
        if(t1.a[i]<t2.a[i])
        {
            j=i+1;
            while(t1.a[j]==0)
                j++;
            t1.a[j--]--;
            while(j>i)
                t1.a[j--]+=MAXN;
            t1.a[i]+=MAXN+1-t2.a[i];
        }
        else t1.a[i]-=t2.a[i];
    }
    t1.len=big;
    while(t1.a[len-1]==0 && t1.len>1)
    {
        t1.len--;
        big--;
    }
    if(flag)
        t1.a[big-1]=0-t1.a[big-1];
    return t1;
}
BigNum BigNum::operator*(const BigNum &T)const //两个大数之间的相乘
{
    BigNum ret;
    int i,j,up;
    int temp,temp1;
    for(i=0;i<len;i++)
    {
        up=0;
        for(j=0;j<T.len;j++)
        {
            temp=a[i]*T.a[j]+ret.a[i+j]+up;
            if(temp>MAXN)
            {
                temp1=temp-temp/(MAXN+1)*(MAXN+1);
                up=temp/(MAXN+1);
                ret.a[i+j]=temp1;
            }
            else
            {
                up=0;
                ret.a[i+j]=temp;
            }
        }
        if(up!=0)
            ret.a[i+j]=up;
    }
    ret.len=i+j;
    while(ret.a[ret.len-1]==0 && ret.len>1)ret.len--;
    return ret;
}
BigNum BigNum::operator/(const int &b)const //大数对一个整数进行相除运算
{
    BigNum ret;
    int i,down=0;
    for(i=len-1;i>=0;i--)
    {
        ret.a[i]=(a[i]+down*(MAXN+1))/b;
        down=a[i]+down*(MAXN+1)-ret.a[i]*b;
    }
    ret.len=len;
    while(ret.a[ret.len-1]==0 && ret.len>1)
        ret.len--;
    return ret;
}
int BigNum::operator%(const int &b)const //大数对一个 int类型的变量进行取模
{
    int i,d=0;
    for(i=len-1;i>=0;i--)
        d=((d*(MAXN+1))%b+a[i])%b;
    return d;
}
BigNum BigNum::operator^(const int &n)const //大数的n次方运算
{
    BigNum t,ret(1);
    int i;
    if(n<0)exit(-1);
    if(n==0)return 1;
    if(n==1)return *this;
    int m=n;
    while(m>1)
    {
        t=*this;
        for(i=1;(i<<1)<=m;i<<=1)
            t=t*t;
        m-=i;
        ret=ret*t;
        if(m==1)ret=ret*(*this);
    }
    return ret;
}
bool BigNum::operator>(const BigNum &T)const //大数和另一个大数的大小比较
{
    int ln;
    if(len>T.len)return true;
    else if(len==T.len)
    {
        ln=len-1;
        while(a[ln]==T.a[ln]&&ln>=0)
            ln--;
        if(ln>=0 && a[ln]>T.a[ln])
            return true;
        else
            return false;
    }
    else
        return false;
}
bool BigNum::operator>(const int &t)const //大数和一个int类型的变量的大小比较
{
    BigNum b(t);
    return *this>b;
}
void BigNum::print() //输出大数
{
    int i;
    printf("%d",a[len-1]);
    for(i=len-2;i>=0;i--)
        printf("%04d",a[i]);
    printf("\n");
}
ll Scan() {
    int ch, flag = 0;
    ll res = 0;
    if((ch = getchar()) == '-')
        flag = 1;
    else if(ch >= '0' && ch <= '9')
        res = ch - '0';
    while ((ch = getchar()) >= '0' && ch <= '9' )
        res = res * 10 + ch - '0';
    return flag ? -res : res;
}

BigNum fac[1002];

int main()
{
    int n,t;
    fac[0]=1;
    BigNum h=2;
    for(int i=1;i<=1000;i=i+1)
    fac[i]=fac[i-1]*h;
    scanf("%d",&t);
    while(t--)
    {
        scanf("%d",&n);
        cout<<fac[n]<<endl;
    }
    return 0;
}