用计算机进行有理数的加减乘除运算时,7.1设计并实现有理数库，使用整数表示分子和分母，完成有理数的加减乘除与化简运算...

1 //class_head.h

2 classComplex3 {4 public:5 Complex()6 {molecules=0;denominator=0;}7 Complex(int n,intm);

//对运算符的重载，c3默认会传第二个操作数的值，所以只要写一个参数

//也可以这样的写法 Complex operator+(Complex &c2);8 Complex operator+(Complex c3);9 Complex operator-(Complex c3);10 Complex operator*(Complex c3);11 Complex operator/(Complex c3);12 Complex input(Complex &c);//实现对私有成员的赋值操作13 voidoutput();14 private:15 intmolecules;16 intdenominator;17 voidsimplification();//化简18 };

//class_yuan.cpp

#include

using namespace std;

#include "class_head.h"

#include

Complex::Complex(int n,int m)

{

molecules=n,denominator=m;

simplification();

}

//使用了欧几里得算法(辗转相除法)利用两个数的公约数对于较小数与两数之间的余数的公约数

void Complex::simplification()

{

if(denominator<0)

{

molecules=-molecules;

denominator=-denominator;

}

int a=abs(molecules);//abs()是取绝对值，包含在头文件里面

int b=abs(denominator);

while(b>0)

{

int t=a%b;

a=b;

b=t;

}

molecules=molecules/a;

denominator=denominator/a;

}

Complex Complex::operator+(Complex c3)

{

int a=molecules;

int b=denominator;

int c=c3.molecules;

int d=c3.denominator;

int e=a*d+b*c;

int f=b*d;

return Complex(e,f);

}

Complex Complex::operator-(Complex c3)

{

c3.molecules=-c3.molecules;

return operator+(c3);

}

Complex Complex::operator*(Complex c3)

{

int a=molecules;

int b=denominator;

int c=c3.molecules;

int d=c3.denominator;

int e=a*c;

int f=b*d;

return Complex(e,f);

}

Complex Complex::operator/(Complex c3)

{

int t=c3.molecules;

c3.molecules=c3.denominator;

c3.denominator=t;

return operator*(c3);

}

Complex Complex::input(Complex &c)

{

int a,b;

cout<

cin>>a;

cout<

cin>>b;

molecules=a;

denominator=b;

return c;

}

void Complex::output()

{

if(molecules%denominator==0)

cout<

else

cout<

}

//main()

#include

using namespace std;

#include "class_head.h"

int main()

{

int i;

Complex c1,c2,c3;

cout<

c1.input(c1);

cout<

c2.input(c2);

cout<

cout<

cout<

cout<

cout<

cin>>i;

switch(i)

{

case 1:

c3=c1+c2;

cout<

cout<

c3.output();

cout<

break;

case 2:

c3=c1-c2;

cout<

cout<

c3.output();

cout<

break;

case 3:

c3=c1*c2;

cout<

cout<

c3.output();

cout<

break;

case 4:

c3=c1/c2;

cout<

cout<

c3.output();

cout<

break;

}

return 0;

}