【C++】分数类运算加减乘除约分运算符重载

小咪咪 2022-10-16 07:45 157阅读 0赞

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();
    }