C++习题（定义一个复数类Complex，重载运算符“+”,“-”,“*”,“/”，使之能用于复数的加、减、乘、除。运算符重载函数作为Complex类的成员函数。编写程序，分别求两个复数之和、差、积和商。）
Description
定义一个复数类Complex，重载运算符“+”,“-”,“*”,“/”，使之能用于复数的加、减、乘、除。运算符重载函数作为Complex类的成员函数。编写程序，分别求两个复数之和、差、积和商。
Input
两个复数
Output
两个复数之和、差、积和商
Sample Input
3 4 5 -10
Sample Output
c1+c2=(8.00,-6.00i) c1-c2=(-2.00,14.00i) c1*c2=(55.00,-10.00i) c1/c2=(-0.20,0.40i)
HINT
前置代码及类型定义已给定如下，提交时不需要包含，会自动添加到程序前部
/* C++代码 */
#include <iostream>
#include <iomanip>
using namespace std;
class Complex
{
public:
Complex();
Complex(double r,double i);
Complex operator+(Complex &c2);
Complex operator-(Complex &c2);
Complex operator*(Complex &c2);
Complex operator/(Complex &c2);
void display();
private:
double real;
double imag;
};
主函数已给定如下，提交时不需要包含，会自动添加到程序尾部
/* C++代码 */
int main()
{
double real,imag;
cin>>real>>imag;
Complex c1(real,imag);
cin>>real>>imag;
Complex c2(real,imag);
cout<<setiosflags(ios::fixed);
cout<<setprecision(2);
Complex c3=c1+c2;
cout<<"c1+c2=";
c3.display();
c3=c1-c2;
cout<<"c1-c2=";
c3.display();
c3=c1*c2;
cout<<"c1*c2=";
c3.display();
c3=c1/c2;
cout<<"c1/c2=";
c3.display();
return 0;
}
1 #include <iostream> 2 #include <iomanip> 3 using namespace std; 4 class Complex 5 { 6 public: 7 Complex(); 8 Complex(double r,double i); 9 Complex operator+(Complex &c2); 10 Complex operator-(Complex &c2); 11 Complex operator*(Complex &c2); 12 Complex operator/(Complex &c2); 13 void display(); 14 private: 15 double real; 16 double imag; 17 }; 18 Complex::Complex() 19 {real=0;imag=0;} 20 Complex::Complex(double r,double i) 21 {real=r;imag=i;} 22 Complex Complex::operator+(Complex &c2) 23 {Complex c; 24 c.real=real+c2.real; 25 c.imag=imag+c2.imag; 26 return c;} 27 Complex Complex::operator-(Complex &c2) 28 {Complex c; 29 c.real=real-c2.real; 30 c.imag=imag-c2.imag; 31 return c;} 32 Complex Complex::operator*(Complex &c2) 33 {Complex c; 34 c.real=real*c2.real-imag*c2.imag; 35 c.imag=imag*c2.real+real*c2.imag; 36 return c;} 37 Complex Complex::operator/(Complex &c2) 38 {Complex c; 39 c.real=(real*c2.real+imag*c2.imag)/(c2.real*c2.real+c2.imag*c2.imag); 40 c.imag=(imag*c2.real-real*c2.imag)/(c2.real*c2.real+c2.imag*c2.imag); 41 return c;} 42 void Complex::display() 43 {cout<<"("<<real<<","<<imag<<"i)"<<endl;} 44 int main() 45 { 46 double real,imag; 47 cin>>real>>imag; 48 Complex c1(real,imag); 49 cin>>real>>imag; 50 Complex c2(real,imag); 51 cout<<setiosflags(ios::fixed); 52 cout<<setprecision(2); 53 Complex c3=c1+c2; 54 cout<<"c1+c2="; 55 c3.display(); 56 c3=c1-c2; 57 cout<<"c1-c2="; 58 c3.display(); 59 c3=c1*c2; 60 cout<<"c1*c2="; 61 c3.display(); 62 c3=c1/c2; 63 cout<<"c1/c2="; 64 c3.display(); 65 return 0; 66 }
