c++重载运算符实现分数加减乘除

实现结果如下图所示：

代码如下所示：

#include <iostream>

using namespace std;

class Rational {
public:
	Rational operator+(Rational rhs);
	Rational operator-(Rational rhs);
	Rational operator*(Rational rhs);
	Rational operator/(Rational rhs);
	Rational(int num, int denom);

private:
	void normalize(); //负责对分数做化简工作

	int numerator;//分子
	int denominator;//分母

	friend std::ostream& operator<<(ostream& os, Rational f);
};

Rational::Rational(int num, int denom) {
	numerator = num;
	denominator = denom;

	normalize();
}

//只允许分子为负数，若分母为负数则把负数挪到分子部分
//利用欧几里得算法将分数简化
void Rational::normalize() {
	if (denominator < 0) {
		numerator = -numerator;
		denominator = -denominator;
	}

	//欧几里得算法
	int a = abs(numerator);
	int b = ab