项目3扩展（选做）-分数类和整型数的四则运算

/*
*Corpyright (c)2013,烟台大学计算机学院
*All right reseved.
*作者：张梦佳
*完成日期：2014年4月15日
*版本号：v1.0
*输入描述：
*问题描述:实现分数类中的运算符重载，在分数类中可以完成分数的加减乘除（运算后再化简）、比较（6种关系）的运算。在其基础上拓展。分数类中的对象可以和整型数进行四则运算，且运算符合交换律！
*程序输出：
*问题分析：
*算法设计：
*/
#include <iostream>
#include <cmath>
#include <cstdlib>
using namespace std;
class CFraction
{
private:
int nume;  // 分子
int deno;  // 分母
public:
CFraction(int a=0,int b=0)
{
nume=a;
deno=b;
}
friend CFraction operator+(int s,const CFraction &c);
friend CFraction operator-(int s,const CFraction &c);
friend CFraction operator*(int s,const CFraction &c);
friend CFraction operator/(int s,const CFraction &c);
CFraction operator+(int s);
CFraction operator-(int s);
CFraction operator*(int s);
CFraction operator/(int s);
CFraction operator+(CFraction &c);
CFraction operator-(CFraction &c);
CFraction operator*(CFraction &c);
CFraction operator/(CFraction &c);
bool operator>(CFraction &c);
bool operator<=(CFraction &c);
void simplify();
//构造函数及运算符重载的函数声明
};
//重载函数的实现及用于测试的main()函数
CFraction operator+(int s,const CFraction &c)
{
CFraction a;
a.nume=s*c.deno+c.nume;
a.deno=c.deno;
return a;

}
CFraction operator-(int s,const CFraction &c)
{
CFraction a;
a.nume=s*c.deno-c.nume;
a.deno=c.deno;
return a;

}
CFraction operator*(int s,const CFraction &c)
{
CFraction a;
a.nume=s*c.nume;
a.deno=c.deno;
return a;

}
CFraction operator/(int s,const CFraction &c)
{
CFraction a;
a.nume=c.deno*s;
a.deno=c.nume;
return a;

}
CFraction CFraction::operator+(int s)
{
CFraction c;
c.nume=s*deno+nume;
c.deno=deno;
return c;
}
CFraction CFraction::operator-(int s)
{
CFraction c;
c.nume=nume-s*deno;
c.deno=deno;
return c;
}
CFraction CFraction::operator*(int s)
{
CFraction c;
c.nume=s*nume;
c.deno=deno;
return c;
}
CFraction CFraction::operator/(int s)
{
CFraction c;
c.nume=nume;
c.deno=deno*s;
return c;
}
bool CFraction::operator>(CFraction &c)
{
if(nume*c.deno>c.nume*nume)
return false;
else
return true;

}
bool CFraction::operator<=(CFraction &c)
{
if(!(nume*c.deno>c.nume*nume))
return false;
else
return true;

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

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

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

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

}
void CFraction::simplify()
{
int s,q;
if(nume>deno)
{
for(int i=abs(deno);i!=0;i--)
{
s=deno%i;
q=nume%i;
if(s==0&&q==0)
{
cout<<"("<<nume/i<<"/"<<deno/i<<")"<<endl;
break;
}

}
}
else
{
if(nume<deno)
{
for(int i=abs(nume);i>0;i--)
{
s=deno%i;
q=nume%i;
if(s==0&&q==0)
{
cout<<"("<<nume/i<<"/"<<deno/i<<")"<<endl;
break;
}

}
}
}
}

int main()
{
CFraction t1(3,6),t2(2,3),t3;
int d=5;
t1.simplify();
t2.simplify();
cout<<"t1+t2=";
t3=t1+t2;
t3.simplify();
cout<<"t1*t2=";
t3=t1*t2;
t3.simplify();
cout<<"t1/t2=";
t3=t1/t2;
t3.simplify();
cout<<"t1-t2=";
t3=t1-t2;
t3.simplify();
cout<<"t1-5=";
t3=t1-d;
t3.simplify();
cout<<"t1*5=";
t3=t1*d;
t3.simplify();
cout<<"t1/5=";
t3=t1/d;
t3.simplify();
cout<<"t1+5=";
t3=t1+d;
t3.simplify();
cout<<"5+t2=";
t3=d+t2;
t3.simplify();
cout<<"5-t2=";
t3=d-t2;
t3.simplify();
cout<<"5*t2=";
t3=d*t2;
t3.simplify();
cout<<"5/t2=";
t3=d/t2;
t3.simplify();
if(t1<=t2)
cout<<"没有错误！调试完毕！"<<endl;
else
cout<<"哎呀！有错误！"<<endl;
return 0;

}