每日打卡-11.2

一.问题描述

定义一个分数类，包含分子、分母

实验要求：

1. 含有无参的默认构造函数，并进行构造函数的重载；
2. 重载分数的加法+、减法-、数乘*这三运算符；
3. 重载分数的输入和输出运算符；
4. 重载分数的关系运算符==，!=，>=，<=；

定义约简函数，使分子分母没有公因子。

二.设计思路

三.流程图

四.伪代码 

1

五.代码实现 

#include<iostream>
using namespace std;
class fraction {
private:
	int zi, mu;
public:
	fraction(){}
	fraction(int a, int b) :zi(a), mu(b){}
	~fraction(){}

	void fractionReduction() {
		int big, n = 1;
		big = (zi > mu ? zi : mu);
		for (int i = big; i >= 1; i--) {
			if (zi % i == 0 && mu % i == 0) {
				zi /= i; //分子（前项）
				mu /= i; //分母（后项）
				n *= i; //公约数
			}
		}
	}
	friend istream& operator >> (istream& in, fraction& a) {
		in >> a.zi >> a.mu;
		return in;
	}
	friend ostream& operator <<(ostream& out, fraction& a) {
		out << a.zi << " / " << a.mu;
		return out;
	}

	fraction operator+ (fraction& a) {
		fraction res;
		res.zi = zi * a.mu + a.zi * mu;
		res.mu = mu * a.mu;
		res.fractionReduction();
		return res;
	}
	fraction operator- (fraction& a) {
		fraction res;
		res.zi = zi * a.mu - a.zi * mu;
		res.mu = mu * a.mu;
		res.fractionReduction();
		return res;
	}
	friend fraction operator* (int num, fraction& a) {
		fraction res;
		res.mu = a.mu;
		res.zi = num * a.zi;
		res.fractionReduction();
		return res;
	}

	friend int operator ==(fraction& a, fraction& b) {
		a.fractionReduction();
		b.fractionReduction();
		if (a.zi == b.zi && a.mu == b.mu) return 1;
		else return 0;
	}
	friend int operator !=(fraction& a, fraction& b) {
		a.fractionReduction();
		b.fractionReduction();
		if (a.zi != b.zi && a.mu != b.mu) return 1;
		else return 0;
	}
	friend int operator >=(fraction& a, fraction& b) {
		a.fractionReduction();
		b.fractionReduction();
		if (a.zi >= b.zi && a.mu >= b.mu) return 1;
		else return 0;
	}
	friend int operator <=(fraction& a, fraction& b) {
		a.fractionReduction();
		b.fractionReduction();
		if (a.zi <= b.zi && a.mu <= b.mu) return 1;
		else return 0;
	}
};

int main() {
	fraction a, b, c;
	int s;
	cin >> a >> b;
	cin >> s;
	c = a + b;
	cout << c << endl;
	c = a - b;
	cout << c << endl;
	c = s * b;
	cout << c << endl;
	if (a >= b) {
		cout << "a>=b" << endl;
	}
	if (a <= b) {
		cout << "a<=b" << endl;
	}
	if (a != b) {
		cout << "a!=b" << endl;
	}
	if (a == b) {
		cout << "a=b" << endl;
	}
        return 0;
}