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Fraction.cpp
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Fraction.cpp
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#include<iostream>
using namespace std;
#include"Fraction.h"
Fraction::Fraction(int number1,int number2)
{
numerator=number1;
denominator=number2;
}
void Fraction::set()
{
cout<<"请输入你想要的分数:"<<endl;
cout<<"请输入分子:"<<endl;
cin>>numerator;
cout<<"请输入分母:"<<endl;
cin>>denominator;
reduction();
}
void Fraction::reduction() //约分函数
{
int i;
int nume,deno;
int k=1,j=1;
if(numerator<0)
{
nume=-1*numerator;
k=-1;
}
else
nume=numerator;
if(denominator<0)
{
deno=-1*denominator;
j=-1;
}
else
deno=denominator;
if(nume<deno)
{
for(i=2;i<=nume;i++)
{
if( (nume%i==0) && (deno%i==0) )
{
nume/=i;
deno/=i;
i--;
}
}
}
else if(nume>=deno)
{
for(i=2;i<=deno;i++)
{
if( (nume%i==0) && (deno%i==0) )
{
nume/=i;
deno/=i;
i--;
}
}
}
numerator=k*j*nume;
denominator=deno;
}
void Fraction::reciprocal() //倒数函数
{
int temp=numerator;
numerator=denominator;
denominator=temp;
reduction();
}
const Fraction operator+(const Fraction& x,const Fraction& y) //此处可以完成c=a+4,c=4+a,即完成了类型转换和加法交换律
{
Fraction c(x.numerator*y.denominator+y.numerator*x.denominator,x.denominator*y.denominator);
c.reduction();
return c;
}
const Fraction operator-(const Fraction& x,const Fraction& y)
{
Fraction c(x.numerator*y.denominator-y.numerator*x.denominator,x.denominator*y.denominator);
c.reduction();
return c;
}
const Fraction operator*(const Fraction& x,const Fraction& y)
{
Fraction c(x.numerator*y.numerator,x.denominator*y.denominator);
c.reduction();
return c;
}
const Fraction operator/(const Fraction& x,const Fraction& y)
{
Fraction c(x.numerator*y.denominator,x.denominator*y.numerator);
c.reduction();
return c;
}
const Fraction operator+(const Fraction& x)
{
Fraction c(+x.numerator,+x.denominator);
c.reduction();
return c;
}
const Fraction operator-(const Fraction& x) //单目负号实现分数的负数
{
Fraction c(-1*x.numerator,x.denominator);
c.reduction();
return c;
}
const bool Fraction::operator<(const Fraction& x)
{
if(numerator*x.denominator<x.numerator*denominator)
return true;
else
return false;
}
const bool Fraction::operator<=(const Fraction& x)
{
if(numerator*x.denominator<=x.numerator*denominator)
return true;
else
return false;
}
const bool Fraction::operator>(const Fraction& x)
{
if(numerator*x.denominator>x.numerator*denominator)
return true;
else
return false;
}
const bool Fraction::operator>=(const Fraction& x)
{
if(numerator*x.denominator>=x.numerator*denominator)
return true;
else
return false;
}
const bool Fraction::operator==(const Fraction& x)
{
if(numerator*x.denominator==x.numerator*denominator)
return true;
else
return false;
}
const bool Fraction::operator!=(const Fraction& x)
{
if(numerator*x.denominator!=x.numerator*denominator)
return true;
else
return false;
}
ostream& operator<<(ostream& os, Fraction& com) //由于要进行约分运算,所以Fraction& com前面没有const
{
com.reduction();
if(com.denominator!=1)
cout<<com.numerator<<"/"<<com.denominator<<" ";
else
cout<<com.numerator<<" ";
return os;
}
istream& operator>>(istream& is, Fraction& com)
{
cout<<"请分别输入分数的分子和分母:";
is>>com.numerator>>com.denominator;
com.reduction();
return is;
}