分数类与整型数的加减乘除

最新推荐文章于 2021-01-02 07:54:03 发布

原创最新推荐文章于 2021-01-02 07:54:03 发布 · 1.1k 阅读

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本文介绍了一个C++程序，用于实现分数的各种基本运算，包括加、减、乘、除及比较大小等操作，并通过化简功能确保分数处于最简形式。程序还支持分数与整数之间的运算。

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#include<stdlib.h>
#include<iostream>

using namespace std;

int M=1;

class  CFraction
{
private:
    int nume;
    int deno;
public:
    CFraction (int n=1,int d=1):nume(n),deno(d){}
    CFraction  operator+(CFraction &c);
    CFraction  operator-(CFraction &c);
    CFraction  operator*(CFraction &c);
    CFraction  operator/(CFraction &c);
    CFraction  operator+(int c);
    CFraction  operator-(int c);
    CFraction  operator*(int c);
    CFraction  operator/(int c);
    CFraction  operator-();
    bool       operator>(CFraction &c);
    CFraction  simply(CFraction &c);
    friend int divisor(CFraction &c);
    friend int multiple(CFraction &c);
    void display();
    int min(int,int);
};
CFraction CFraction::operator+(CFraction &c)
{
      CFraction a;
      a.deno=deno*c.deno;
      a.nume=nume*c.deno+c.nume*deno;
      a=simply(a);
      return a;

}
CFraction CFraction::operator+(int c)
{
      CFraction a;
      a.deno=deno;
      a.nume=nume+c*deno;
      a=simply(a);
      return a;

}
CFraction  CFraction::operator-(CFraction &c)
{
      CFraction a;
      a.deno=deno*c.deno;
      a.nume=nume*c.deno-c.nume*deno;
      a=simply(a);
      return a;


}
CFraction CFraction::operator-(int c)
{
      CFraction a;
      a.deno=deno;
      if(nume>c*deno)
      {
         a.nume=nume-c*deno;
      }else{
          M=0;
         a.nume=c*deno-nume;
      }

      a=simply(a);
      return a;

}

CFraction  CFraction::operator*(CFraction &c)
{
    CFraction a;
    a.deno=deno*c.deno;
    a.nume=nume*c.nume;
    a=simply(a);
      return a;
}

CFraction CFraction::operator*(int c)
{
      CFraction a;
      a.deno=deno;
      a.nume=nume*c;
      a=simply(a);
      return a;

}
CFraction  CFraction::operator/(CFraction &c)
{
    CFraction a;
    a.nume=nume*c.deno;
    a.deno=deno*c.nume;
    a=simply(a);
      return a;
}
CFraction CFraction::operator/(int c)
{
      CFraction a;
      a.deno=deno*c;
      a.nume=nume;
      a=simply(a);
      return a;

}
CFraction  CFraction::operator-()
{
     CFraction a;
    a.deno=nume;
    a.nume=deno;
    a=simply(a);
      return a;
}
bool CFraction::operator>(CFraction &c)
{
    if(nume/deno>c.nume/c.deno)
    return true;
    else{
        return false;
    }


}
CFraction  CFraction::simply(CFraction &c)  //化简
{
    CFraction a;
    int b=divisor(c);
    a.nume=c.nume/b;
    a.deno=c.deno/b;
    return a;
}

int CFraction::min(int n ,int m)
{
    if(deno<nume) return deno;
    else return nume;
}

int divisor(CFraction &c)       //求最大公约数
{
    int n=min(c.deno,c.nume);
    for(int i=n;i>=0;i--)
    {
        if(c.deno%i==0 && c.nume%i==0)
        {
          return i;
          break;
        }
    }
}

void CFraction::display()
{
    cout<<"("<<nume<<"/"<<deno<<")";
}
int main()
{
    int m,p,o,i;
   CFraction t(2,9),t1(3,4),t2(3,2),t3,t4,t5,t6,t7;
   cout<<"第一个分数为：";
   t1.display();
   cout<<endl<<"第二个分数为：";
   t2.display();
   cout<<endl;
   cout<<endl<<"t1+t2=";
   t3=t1+t2;
   t3.display();
   cout<<endl<<"t2-t1=";
   t3=t2-t1;
   t3.display();
   cout<<endl<<"t1*t2=";
   t3=t1*t2;
   t3.display();
   cout<<endl<<"t1/t2=";
   t3=t1/t2;
   t3.display();
   cout<<endl<<"去倒数";
   t3=-t1;
   t3.display();
   if(t1>t2){
   cout<<endl<<"t1>t2"<<endl;
   }else{
   cout<<endl<<"t1<t2"<<endl;
   }
   cout<<"请输入您想在t1的基础上加上个整数："<<endl;
   cin>>m;
   t4=t1+m;
   t1.display();
   cout<<"+"<<m<<"=";
   t4.display();
   cout<<endl<<"请输入您想在t1的基础上减个整数："<<endl;
   cin>>p;
   t5=t1-p;
   t1.display();
   cout<<"-"<<m<<"=";
   if(M==0)  cout<<"-";
   t5.display();
   cout<<endl<<"请输入您想在t1的基础上乘个整数："<<endl;
   cin>>o;
   t6=t1*o;
   t1.display();
   cout<<"*"<<m<<"=";
   t6.display();
   cout<<endl<<"请输入您想在t的基础上除个整数："<<endl;
   cin>>i;
   t7=t/i;
   t.display();
   cout<<"/"<<i<<"=";
   t7.display();
   cout<<endl;
   system("pause");
   return 0;
}

输出结果：