第九周C++实验报告（三）

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#include <iostream>
using namespace std;
int gcd(int m, int n);
class CFraction
{
private:
int nume; // 分子
int deno; // 分母
public:
//构造函数及运算符重载的函数声明
CFraction(int nu=0,int de=1); //构造函数，初始化用
void Simplify(); //化简（使分子分母没有公因子）
void output(); //输出：以8/6为例，style为0时，输出8/6；
bool operator > (CFraction &t);
bool operator < (CFraction &t);
bool operator >= (CFraction &t);
bool operator <= (CFraction &t);
bool operator == (CFraction &t);
bool operator != (CFraction &t);
CFraction operator+(CFraction &c);
CFraction operator-(CFraction &c);
CFraction operator*(CFraction &c);
CFraction operator/(CFraction &c);
CFraction operator-();
friend ostream &operator << (ostream &,CFraction &);
friend istream &operator >> (istream &,CFraction &);
};
istream &operator >> (istream &input,CFraction &c)
{
input>>c.nume>>c.deno;
return input;
}
ostream &operator << (ostream &output,CFraction &c)
{
output<<c.nume<<'/'<<c.deno<<endl;
return output;
}
CFraction::CFraction(int nu,int de) //构造函数，初始化用
{
if (de!=0)
{
nume=nu;
deno=de;
}
else
{
cerr<<"初始化中发生错误，程序退出\n";
exit(0);
}
}
void CFraction::Simplify() //化简（使分子分母没有公因子）
{
int n;
if(nume<0)
{
n=gcd(-nume,deno);
}
else
{
n=gcd(nume,deno);
}
nume=nume/n;
deno=deno/n;
}
// 求m，n的最大公约数
int gcd(int m, int n)
{
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;
}
bool CFraction::operator > (CFraction &t)
{
CFraction c2,c3;
c2.nume=nume*t.deno ;
c3.nume=t.nume*deno;
if(c2.nume>c3.nume )
return true;
else
return false;
}
bool CFraction::operator < (CFraction &t)
{
CFraction c2,c3;
c2.nume=nume*t.deno ;
c3.nume=t.nume*deno;
if(c2.nume<c3.nume )
return true;
else
return false;
}
bool CFraction::operator >= (CFraction &t)
{
CFraction c1;
c1.nume=nume;
c1.deno=deno;
if (c1<t)
return false;
return true;
}
bool CFraction::operator <= (CFraction &t)
{
CFraction c1;
c1.nume=nume;
c1.deno=deno;
if(c1>t)
return false;
return true;
}
bool CFraction::operator == (CFraction &t)
{
CFraction c1;
c1.nume=nume;
c1.deno=deno;
if (c1<t)
return false;
if (c1>t)
return false;
return false;
}
bool CFraction::operator != (CFraction &t)
{
CFraction c1;
c1.nume=nume;
c1.deno=deno;
if (c1==t)
return false;
return true;
}
CFraction CFraction::operator+(CFraction &c)
{
CFraction c2,c3,c4;
c2.nume=nume*c.deno ;
c3.nume=c.nume *deno;
c2.deno=deno*c.deno ;
c3.deno=c.deno *deno;
c4.nume=c2.nume +c3.nume ;
c4.deno=c2.deno ;
c4.Simplify ();
return c4;
}
CFraction CFraction::operator-(CFraction &c)
{
CFraction c2,c3,c4;
c2.nume=nume*c.deno ;
c3.nume=c.nume*deno;
c2.deno=deno*c.deno ;
c3.deno=c.deno*deno;
c4.nume=c2.nume-c3.nume ;
c4.deno=c2.deno ;
c4.Simplify ();
return c4;
}
CFraction CFraction::operator*(CFraction &c)
{
CFraction c2,c3,c4;
c2.nume=nume*c.nume ;
c2.deno=deno*c.deno ;
c2.Simplify();
return c2;
}
CFraction CFraction::operator/(CFraction &c)
{
CFraction c2,c3;
c2.nume=c.deno ;
c2.deno=c.nume ;
c3.nume=nume*c2.nume ;
c3.deno=deno*c2.deno ;
c3.Simplify ();
return c3;
}
CFraction CFraction::operator-()
{
CFraction c2;
c2.nume=nume;
c2.deno=deno;
c2.Simplify ();
if(c2.nume<0 || c2.deno<0)
{
if(c2.nume <0)
{
c2.nume=-nume;
}
else
{
c2.deno=-deno;
}
}
else
{
c2.nume=-nume;
c2.deno=deno;
}
return c2;
}
//用于测试的main()函数
void main()
{
CFraction c1,c2,c;
cout<<"请您输入一个分数c1：（以a b的形式输入）";
cin>>c1;
cout<<"请您输入一个分数c1：（以a b的形式输入）";
cin>>c2;
cout<<"c1为：";
cout<<c1;
cout<<"c2为：";
cout<<c2;
cout<<"下面比较两个时间大小：\n";
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;
cout<<endl;
cout<<"c1+c2的数值为：";
c=c1+c2;
cout<<c;
cout<<endl;
cout<<"c1-c2的数值为：";
c=c1-c2;
cout<<c;
cout<<endl;
cout<<"c1*c2的数值为：";
c=c1*c2;
cout<<c;
cout<<endl;
cout<<"c1/c2的数值为：";
c=c1/c2;
cout<<c;
cout<<endl;
cout<<"对c1取反的结果为：";
c=-c1;
cout<<c;
cout<<endl;
}