题目：
建立一个复数类imaginary，其私有数据成员x和y表示复数的实部和虚部，构造函数imaginary用于对复数的实部和虚部初始化，友员函数add,sub,mul和div分别用于进行复数的加、减、乘和除法运算，静态函数show用于显示运算结果。在主函数中，实例化两个复数，并输入一个运算符，按运算符选择相应的友员函数进行复数运算，然后输出运算结果。
假设有两个复数a+bi和c+di，则复数的加、减、乘和除法运算规定如下
(a+bi)+(c-K/i)=(a+c)+(b+d)i
(a+bi)-(c+di)=(a-c)+(b-d)i
(a+bi)*(c+di)=(ac-bd)+(bc+ad)i
(a+bi)/(c+di)=(ac+bd)/(c2+d2)+(bc-ad)/ (c2+d2)i
#include <iostream>
using namespace std;
class imaginary
{
double x, y;
public:
static double A, B;//用于储存计算结果的静态成员变量
imaginary(double a, double b);//构造函数
friend void add(imaginary& obj, imaginary& obj1 );
friend void sub(imaginary& obj, imaginary& obj1);
friend void mul(imaginary& obj, imaginary& obj1);
friend void div(imaginary& obj, imaginary& obj1);
static void show();
};
//需要在类外定义静态数据成员
double imaginary::A = 0;
double imaginary::B = 0;
imaginary::imaginary(double a, double b):x(a),y(b){
} //构造函数实现
void show()
{
cout << imaginary::A << "i" <<"+"<<"("<< imaginary::B <<")"<< "j" << endl;
}
void add(imaginary& obj, imaginary& obj1)
{
imaginary::A= obj.x + obj1.x;
imaginary::B= obj.y + obj1.y;
}
void sub(imaginary& obj, imaginary& obj1)
{
imaginary::A = obj.x - obj1.x;
imaginary::B = obj.y - obj1.y;
}
void mul(imaginary& obj, imaginary& obj1)
{
imaginary::A = ((obj.x * obj1.x) - (obj.y * obj1.y));
imaginary::B = ((obj.y * obj1.x) + (obj.x * obj1.y));
}
void div(imaginary& obj, imaginary& obj1)
{
imaginary::A = (obj.x * obj1.x + obj.y * obj1.y) / (obj1.x * obj1.x + obj1.y * obj1.y);
imaginary::B = (obj.y * obj1.x - obj.x * obj1.y) / (obj1.x * obj1.x + obj1.y * obj1.y);
}
int main()
{
double p, o, i, u;
cout << "请输入第一个复数的实部: ";
cin >> p;
cout << "请输入第一个复数的虚部: ";
cin >> o;
cout << endl;
cout << "请输入第二个复数的实部: ";
cin >> i;
cout << "请输入第二个复数的虚部: ";
cin >> u;
imaginary obj(p, o);
imaginary obj1(i, u);
char x;
cout << "请输入一个运算符，运算两个复数" << endl;
cin >> x;
switch (x)
{
case '+' :
{
add(obj, obj1);
show();
} break;
case '-':
{
sub(obj, obj1);
show();
}break;
case'*':
{
mul(obj, obj1);
show();
}break;
case'/':
{
div(obj, obj1);
show();
}break;
}
}