第九周任务三

/*(文件注释头部开始）
*程序的版权和版本声明部分
*Copyright (c) 2011,烟台大学计算机学院学生
*All rights reserved. 
*文件名称：
*作   者：刘杨
*完成日期：2012 年 4 月 17 号
*版本号：vc
* 对任务及求解方法的描述部分
* 输入描术：
* 问题描述：定义分数类中《和》运算符重载，实现分数的输入输出
* 程序输出：
* 程序头部的注释结束
*/  

#include<iostream>      
  
using namespace std;    
  
class CFraction    
{    
private:    
    int nume;  // 分子      
    int deno;  // 分母      
    int gcd(int nu, int de);    
public:    
    //重载流运算符   
    friend istream & operator >> (istream &, CFraction &);  
    friend ostream & operator << (ostream &, CFraction &);  
    //构造函数及运算符重载的函数声明      
    CFraction(int nu = 0, int de = 1):nume(nu), deno(de){};         //构造函数，初始化用       
    friend CFraction operator + (CFraction c1,CFraction c2);    
    friend CFraction operator - (CFraction c1,CFraction c2);    
    friend CFraction operator * (CFraction c1,CFraction c2);    
    friend CFraction operator / (CFraction c1,CFraction c2);    
    friend CFraction operator - (CFraction c);    
    friend CFraction operator + (CFraction c, int s);    
    friend CFraction operator - (CFraction c, int s);    
    friend CFraction operator * (CFraction c, int s);    
    friend CFraction operator / (CFraction c, int s);    
    friend CFraction operator + (int s, CFraction c);    
    friend CFraction operator - (int s, CFraction c);    
    friend CFraction operator * (int s, CFraction c);    
    friend CFraction operator / (int s, CFraction c);    
    bool operator > (CFraction &t);    
    bool operator < (CFraction &t);    
    bool operator >= (CFraction &t);    
    bool operator <= (CFraction &t);    
    bool operator == (CFraction &t);    
    bool operator != (CFraction &t);    
    void Simplify();                    //化简（使分子分母没有公因子）      
    void display();    
};    
//重载流插入运算符    
istream & operator >> (istream & in, CFraction & c)  
{  
    char c1;  
  
    cout << "请输入分数值：(形式:2/5)" << endl;  
  
    while(1)  
    {  
        in >> c.nume >> c1 >> c.deno;  
  
        if(c.deno == 0)  
        {  
            cout << "分母不能为0！重新输入：" << endl;  
        } 
        else if(c1 != '/')  
        {  
            cout << "格式不正确！请重新输入：" << endl;  
        }   
        else  
        {  
            break;  
        }  
    }  
  
    return in;  
}  
//重载流提取运算符   
ostream & operator << (ostream & out, CFraction & c)  
{  
    out << c.nume << "/" << c.deno << endl;  
  
    return out;  
}  
  
//重载函数的实现及用于测试的main()函数      
void CFraction::Simplify()     
{      
    int n ;    
  
    if(nume < 0)    
    {    
        n = gcd(-nume, deno);    
    }    
    else    
    {    
        n = gcd(nume, deno);    
    }    
  
    nume = nume / n;      
  
    deno = deno / n; 
  
}      
  
int CFraction::gcd(int nu, int de)        
{        
    int t, r, a, b;       
  
    a = nu;      
  
    b = de;      
  
    if (a < b)           
    {        
        t = a;        
        a = b;                                         
        b = t;        
    }         
  
    while (b != 0)        
    {        
        r = a % b;        
        a = b;        
        b = r;        
    }        
  
    return a;        
}      
  
void CFraction::display()    
{    
    cout << nume << "/" << deno << endl;    
}    
  
CFraction operator + (CFraction c1,CFraction c2)    
{    
    CFraction c;    
  
    c.nume = c1.nume * c2.deno + c2.nume * c1.deno;    
  
    c.deno = c1.deno * c2.deno;    
  
    return c;    
}    
  
CFraction operator - (CFraction c1,CFraction c2)    
{    
    CFraction c;    
  
    c.nume = c1.nume * c2.deno - c2.nume * c1.deno;    
  
    c.deno = c1.deno * c2.deno;    
  
    return c;    
}    
  
CFraction operator * (CFraction c1,CFraction c2)    
{    
    CFraction c;    
  
    c.nume = c1.nume * c2.nume;    
  
    c.deno = c1.deno * c2.deno;    
  
    return c;    
}    
  
CFraction operator / (CFraction c1,CFraction c2)    
{    
    CFraction c;    
  
    c.nume = c1.nume * c2.deno;    
  
    c.deno = c1.deno * c2.nume;    
  
    return c;    
}    
  
CFraction operator - (CFraction c)    
{    
    c.nume = 0 - c.nume;    
    return c;    
}    
  
bool CFraction::operator > (CFraction &t)    
{    
    if(nume * t.deno > t.nume * deno)    
    {    
        return true;    
    }    
    else    
    {    
        return false;    
    }    
}    
  
bool CFraction::operator < (CFraction &t)    
{    
    if(nume * t.deno < t.nume * deno)    
    {    
        return true;    
    }    
    else    
    {    
        return false;    
    }    
}    
bool CFraction::operator >= (CFraction &t)    
{    
    if(nume * t.deno >= t.nume * deno)    
    {    
        return true;    
    }    
    else    
    {    
        return false;    
    }    
}    
bool CFraction::operator <= (CFraction &t)    
{    
    if(nume * t.deno <= t.nume * deno)    
    {    
        return true;    
    }    
    else    
    {    
        return false;    
    }    
}    
bool CFraction::operator == (CFraction &t)    
{    
    if(nume * t.deno == t.nume * deno)    
    {    
        return true;    
    }    
    else    
    {    
        return false;    
    }    
}    
bool CFraction::operator != (CFraction &t)    
{    
    if(nume * t.deno != t.nume * deno)    
    {    
        return true;    
    }    
    else    
    {    
        return false;    
    }    
  
}    
  
CFraction operator + (CFraction c, int s)    
{    
    CFraction c2 = c;    
  
    c2.nume = c.nume + s * c.deno;    
  
    return c2;    
}    
  
CFraction operator - (CFraction c, int s)    
{    
    CFraction c2 = c;    
  
    c2.nume = c.nume - s * c.deno;    
  
    return c2;    
}    
  
CFraction operator * (CFraction c, int s)    
{    
    CFraction c2 = c;    
  
    c2.nume = c.nume * s;    
  
    return c2;    
}    
  
CFraction operator / (CFraction c, int s)    
{    
    CFraction c2 = c;    
  
    c2.deno = c.deno * s;    
  
    return c2;    
}    
  
CFraction operator + (int s, CFraction c)    
{    
    CFraction c2 = c;    
  
    c2.nume = c.nume + s * c.deno;    
  
    return c2;    
}    
  
CFraction operator - (int s, CFraction c)    
{    
    CFraction c2 = c;    
  
    c2.nume = s * c.deno - c.nume;    
  
    return c2;    
}    
  
CFraction operator * (int s, CFraction c)    
{    
  
    CFraction c2 = c;    
  
    c2.nume = s * c.nume;    
  
    return c2;    
}    
  
CFraction operator / (int s, CFraction c)    
{    
  
    CFraction c2 = c;    
  
    c2.nume = s * c.deno;    
  
    c2.deno = c.nume;    
  
    return c2;    
}    
  
void main()    
{    
    CFraction c1, c2, c;     
  
    cin >> c1 >> c2;  
  
    c1.Simplify();   
    c2.Simplify();   
  
    cout << "c1 =" << c1;  
  
    cout << "c2 =" << c2;  
  
    c = c1 + c2;    
    c.Simplify();    
  
    cout << "c1 + c2 =" << c;  
  
    c = c1 - c2;    
    c.Simplify();    
  
    cout << "c1 - c2 =" << c;  
  
    c = c1 * c2;    
    c.Simplify();    
  
    cout << "c1 * c2 =" << c;  
  
    c = c1 / c2;   
    c.Simplify();    
  
    cout << "c1 / c2 =" << c;  
  
    c = c1 + 2;   
    c.Simplify();   
  
    cout << "c1 + 2 =" << c;    
  
    c = 2 - c2;    
    c.Simplify();    
  
    cout << "2 - c2 =" << c;    
  
    c = c1 * 2;     
    c.Simplify();    
  
    cout << "c1 * 2 =" << c;   
  
    c = 2 / c2;    
    c.Simplify();    
  
    cout << "2 / c2 =" << c;  
  
    c = - c1;    
  
    cout << "-c1 =" << c;    
  
    if(c1 > c2)    
    {    
        cout << "c1 > c2" << endl;    
    }    
  
    if(c1 < c2)    
    {    
        cout << "c1 < c2" << endl;    
    }    
  
    if(c1 >= c2)    
    {    
        cout << "c1 ≥ c2" << endl;    
    }    
  
    if(c1 <= c2)    
    {    
        cout << "c1 ≤ c2" << endl;    
    }    
  
    if(c1 == c2)    
    {    
        cout << "c1 = c2" << endl;    
    }    
  
    if(c1 != c2)    
    {    
        cout << "c1 ≠ c2" << endl;    
    }    
  
    system("pause");    
}  

运行结果：