分数类中的运算符重载

/*
* 程序的版权和版本声明部分
* Copyright (c)2012, 烟台大学计算机学院学生
* All rightsreserved.
* 文件名称： object.cpp
* 作者：隋 鑫
* 完成日期： 2013年 4 月 19 日
* 版本号： v1.0
* 输入描述：无
* 问题描述：
* 程序输出：
*/

#include<iostream>
#include<Cmath>
using namespace std;
int gcd(int m, int n);
class CFraction
{
private:
int nume;  // 分子
int deno;  // 分母
public:

CFraction(){int nu=0;int de=1;}
CFraction(int nu,int de):nume(nu),deno(de){}
CFraction operator+(CFraction &c2);
CFraction operator-(CFraction &c2);
CFraction operator*(CFraction &c2);
CFraction operator/(CFraction &c2);
CFraction operator~();
bool operator > (CFraction &c2);
bool operator < (CFraction &c2);
bool operator == (CFraction &c2);
void simplify();
void display();
};

CFraction CFraction::operator+(CFraction &c2)
{
return CFraction(nume*c2.deno+deno*c2.nume,deno*c2.deno);
}
CFraction CFraction::operator-(CFraction &c2)
{
return CFraction(nume*c2.deno-deno*c2.nume,deno*c2.deno);
}
CFraction CFraction::operator*(CFraction &c2)
{
return CFraction(nume*c2.nume,deno*c2.deno);
}
CFraction CFraction::operator/(CFraction &c2)
{
return CFraction(nume*c2.deno,deno*c2.nume);
}
CFraction CFraction::operator~()
{
return CFraction(deno,nume);
}
bool CFraction::operator > (CFraction &c2)
{
if(nume*c2.deno-deno*c2.nume,deno*c2.deno>0)
return true;
else
return false;

}
bool CFraction::operator < (CFraction &c2)
{
if(nume*c2.deno-deno*c2.nume,deno*c2.deno<0)
return true;
else
return false;

}
bool CFraction::operator == (CFraction &c2)
{
if(nume*c2.deno-deno*c2.nume,deno*c2.deno==0)
return true;
else
return false;

}
// 分数化简，使分子分母没有公因子
void CFraction::simplify()
{
int n=gcd(deno, nume);
deno/=n;     // 化简
nume/=n;
}

// 求m，n的最大公约数
int gcd(int m, int n) //这个函数可以定义为类的成员函数，也可以为一般函数
{
int r;
if (m<n){r=m;m=n;n=r;}
while(r=m%n)  // 求m，n的最大公约数
{
m=n;
n=r;
}
return n;
}

void CFraction:: display()
{
cout<<nume<<"/"<<deno<<endl;
}

int main()
{
CFraction c1(3,8),c2(7,16),c;
cout<<"c1为：";
c1.display();
cout<<"c2为：";
c2.display();
cout<<"下面比较两个数大小：\n";
if (c1>c2) cout<<"c1>c2"<<endl;
if (c1<c2) cout<<"c1<c2"<<endl;
if (c1==c2) cout<<"c1==c2"<<endl;
c=c1+c2;
cout<<"c1+c2=";
c.simplify();
c.display();
c=c1-c2;
cout<<"c1-c2=";
c.simplify();
c.display();
c=c1*c2;
cout<<"c1*c2=";
c.simplify();
c.display();
c=c1/c2;
cout<<"c1/c2=";
c.simplify();
c.display();
cout<<endl;
return 0;
}