一个有理数类（C++作业）

头文件：

1#ifndef Rational_H
2#define Rational_H
3class Rational
4{
5private:
6	int numerator;
7	int denominator;
8public:
9	Rational();
10	Rational(int , int );
11	Rational simplification(Rational&);
12	Rational addition(Rational& , Rational& );
13	Rational subtraction(Rational& , Rational& );
14	Rational multiplication(Rational& a, Rational& b);
15	Rational division(Rational& a, Rational& b);
16	void showvalue1();//分数形式展现
17	void showvalue2();//有理数形式展现
18};
19#endif

定义类的文件：

1#include<math.h>
2Rational::Rational() :numerator(1), denominator(1)
3{
4}
5Rational::Rational(int a, int b):numerator(a), denominator(b)
6{
7	Rational::simplification(*this);
8}
9Rational Rational::simplification(Rational&a)
10{
11	int mini = std::min(numerator, denominator);
12	for (int i = mini; i > 0; i--)
13	{
14		if (numerator % i == 0 && denominator % i == 0)
15		{
16			numerator /= i;
17			denominator /= i;
18			break;
19		}
20	}
21	return a;
22}
23Rational Rational::addition(Rational&a, Rational&b)
24{
25	this->numerator = a.numerator * b.denominator + a.denominator * b.numerator;
26	this->denominator = a.denominator * b.denominator;
27	Rational::simplification(*this);
28	return *this;
29}
30Rational Rational::subtraction(Rational& a, Rational& b)
31{
32	this->numerator = a.numerator * b.denominator - a.denominator * b.numerator;
33	this->denominator = a.denominator * b.denominator;
34	Rational::simplification(*this);
35	return *this;
36}
37Rational Rational::multiplication(Rational& a, Rational& b)
38{
39	this->numerator = a.numerator * b.numerator;
40	this->denominator = a.denominator * b.denominator;
41	Rational::simplification(*this);
42	return *this;
43}
44Rational Rational::division(Rational& a, Rational& b)
45{
46	this->numerator = a.numerator * b.denominator;
47	this->denominator = a.denominator * b.numerator;
48	Rational::simplification(*this);
49	return *this;
50}
51void Rational::showvalue1()
52{
53	std::cout << numerator << "/" << denominator<<std::endl;
54}
55void Rational::showvalue2()
56{
57	double value = (double)numerator / denominator;
58	std::cout << value << std::endl;
59}

一个demo：

1#include"head.h"
2int main()
3{
4	//测试
5	Rational x(16, 12);
6	Rational y(4, 9);
7	Rational a1;
8	Rational a2;
9	Rational a3;
10	Rational a4;
11	a1.addition(x, y);
12	a2.subtraction(x, y);
13	a3.multiplication(x, y);
14	a4.division(x, y);
15	a1.showvalue1();
16	a2.showvalue1();
17	a3.showvalue1();
18	a4.showvalue1();
19	a1.showvalue2();
20	a2.showvalue2();
21	a3.showvalue2();
22	a4.showvalue2();
23}