用C++语言写出 要采用面向对象的程序设计方法实现对复数类型数据进行加、减、乘、除、平方和立方运算的复数计算器

下面是一个简单的实现：

#include <iostream>
#include <cmath>

using namespace std;

class Complex {
public:
    Complex(double r = 0.0, double i = 0.0) : real(r), imag(i) {}
    Complex(const Complex& c) {
        real = c.real;
        imag = c.imag;
    }

    Complex operator+(const Complex& c) const {
        return Complex(real + c.real, imag + c.imag);
    }

    Complex operator-(const Complex& c) const {
        return Complex(real - c.real, imag - c.imag);
    }

    Complex operator*(const Complex& c) const {
        return Complex(real * c.real - imag * c.imag, real * c.imag + imag * c.real);
    }

    Complex operator/(const Complex& c) const {
        double denominator = c.real * c.real + c.imag * c.imag;
        return Complex((real * c.real + imag * c.imag) / denominator, (imag * c.real - real * c.imag) / denominator);
    }

    Complex operator^(int n) const {
        if (n == 2) {
            return Complex(real * real - imag * imag, 2 * real * imag);
        } else if (n == 3) {
            return Complex(real * real * real - 3 * real * imag * imag, 3 * real * real * imag - imag * imag * imag);
        } else {
            return Complex();
        }
    }

    friend ostream& operator<<(ostream& os, const Complex& c) {
        os << c.real << "+" << c.imag << "i";
        return os;
    }

    friend istream& operator>>(istream& is, Complex& c) {
        is >> c.real >> c.imag;
        return is;
    }

private:
    double real, imag;
};

int main() {
    Complex c1, c2;
    cin >> c1 >> c2;

    Complex c3 = c1 + c2;
    Complex c4 = c1 - c2;
    Complex c5 = c1 * c2;
    Complex c6 = c1 / c2;
    Complex c7 = c1 ^ 2;
    Complex c8 = c1 ^ 3;

    cout << c1 << " + " << c2 << " = " << c3 << endl;
    cout << c1 << " - " << c2 << " = " << c4 << endl;
    cout << c1 << " * " << c2 << " = " << c5 << endl;
    cout << c1 << " / " << c2 << " = " << c6 << endl;
    cout << c1 << "^2 = " << c7 << endl;
    cout << c1 << "^3 = " << c8 << endl;

    return 0;
}

这个程序定义了一个 `Complex` 类表示复数，包括实部和虚部两个成员变量，以及加、减、乘、除、平方、立方操作。其中 `operator+`、`operator-`、`operator*`、`operator/` 都是重载运算符实现的。`operator^` 实现了平方和立方运算。这个程序还重载了输入和输出运算符，可以直接从输入流中读取复数，或者将复数输出到输出流中。在 `main` 函数中，我们可以读取两个复数，进行加、减、乘、除、平方、立方运算，并将结果输出到标准输出流中。