要求+、-、=重载为成员函数
*、/ 重载为友元函数
同时还要定义一个最大公约数成员函数去约分
#include <bits/stdc++.h>
using namespace std;
class number
{
int fz,fm;
public:
number(int a=0,int b=1)
{
fz=a;
fm=b;
}
friend number operator*(number &n1,number &n2);
friend number operator/(number &n1,number &n2);
friend int gcd(int a,int b);
friend int min_gb(int a,number &n1);
number operator+(number &n1);
number operator-(number &n1);
number operator=(const number &n2);
int show()
{
cout<<fz;
if(fm!=1) cout<<" "<<fm<<endl;
}
};
int gcd(int a,int b)
{
if(b==0) return a;
else return gcd(b,a%b);
}
int min_gb(int a,number &n1)
{
return a*n1.fm/gcd(a,n1.fm);
}
number operator/(number &n1,number &n2)
{
int b;
number nn;
nn.fz=n1.fz*n2.fm;
nn.fm=n1.fm*n2.fz;
b=gcd(nn.fz,nn.fm);
if(b!=1)
{
nn.fz=nn.fz/b;
nn.fm=nn.fm/b;
}
return nn;
}
number operator*(number &n1,number &n2)
{
int b;
number nn;
nn.fz=n1.fz*n2.fz;
nn.fm=n1.fm*n2.fm;
b=gcd(nn.fz,nn.fm);
if(b!=1)
{
nn.fz=nn.fz/b;
nn.fm=nn.fm/b;
}
return nn;
}
number number::operator+(number &n1)
{
number nn;
int a=min_gb(fm,n1);
nn.fm=a;
nn.fz=(a/fm)*fz+(a/n1.fm)*n1.fz;
int b=gcd(nn.fz,nn.fm);
if(b!=1)
{
nn.fz=nn.fz/b;
nn.fm=nn.fm/b;
}
return nn;
}
number number::operator-(number &n1)
{
number nn;
int a=min_gb(fm,n1);
nn.fm=a;
nn.fz=(a/fm)*fz-(a/n1.fm)*n1.fz;
int b=gcd(nn.fz,nn.fm);
if(b!=1)
{
nn.fz=nn.fz/b;
nn.fm=nn.fm/b;
}
return nn;
}
number number::operator=(const number &n2)
{
fz=n2.fz;
fm=n2.fm;
}
int main()
{
int a,b,c,d;
cin>>a>>b>>c>>d;
number num1(a,b);
number num2(c,d);
number num3,num4,num5,num6;
num3=num1+num2;
cout<<"相加结果为:"<<endl;
num3.show();
num4=num1-num2;
cout<<"相减结果为:"<<endl;
num4.show();
num5=num1*num2;
cout<<"相乘结果为:"<<endl;
num5.show();
num6=num1/num2;
cout<<"相除结果为:"<<endl;
num6.show();
}