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;

}