用C++设计一个complex类并用友元函数重载乘法运算符实现两复数的乘除法

好的，下面是实现代码：

#include <iostream>
using namespace std;

class complex {
private:
    double real;
    double imag;
public:
    complex(double r = 0, double i = 0) : real(r), imag(i) {}
    friend complex operator*(const complex &c1, const complex &c2);
    friend complex operator/(const complex &c1, const complex &c2);
    void print() {
        cout << "(" << real << "," << imag << ")" << endl;
    }
};

complex operator*(const complex &c1, const complex &c2) {
    double r = c1.real * c2.real - c1.imag * c2.imag;
    double i = c1.real * c2.imag + c1.imag * c2.real;
    return complex(r, i);
}

complex operator/(const complex &c1, const complex &c2) {
    double r = (c1.real * c2.real + c1.imag * c2.imag) / (c2.real * c2.real + c2.imag * c2.imag);
    double i = (c1.imag * c2.real - c1.real * c2.imag) / (c2.real * c2.real + c2.imag * c2.imag);
    return complex(r, i);
}

int main() {
    complex c1(1, 2), c2(3, 4);
    complex c3 = c1 * c2;
    complex c4 = c1 / c2;
    c3.print();
    c4.print();
    return 0;
}

解释一下：

- `complex` 类表示复数，有实部和虚部两个数据成员；
- 构造函数用于初始化实部和虚部；
- `operator*` 和 `operator/` 是友元函数，用来重载乘法和除法运算符；
- `print` 函数用于输出复数。

在 `main` 函数中，创建两个复数 `c1` 和 `c2`，并计算它们的积 `c3` 和商 `c4`，最后输出 `c3` 和 `c4`。