在构造函数上使用重载运算符+在c++中实现多项式

class Polynomial {
private:
    int* coefficients;  // 存储多项式的系数
    int degree;  // 多项式的最高次数

public:
    Polynomial(int deg) {
        degree = deg;
        coefficients = new int[degree + 1];
        for (int i = 0; i <= degree; i++) {
            coefficients[i] = 0;
        }
    }

    Polynomial(const Polynomial& other) {
        degree = other.degree;
        coefficients = new int[degree + 1];
        for (int i = 0; i <= degree; i++) {
            coefficients[i] = other.coefficients[i];
        }
    }

    ~Polynomial() {
        delete[] coefficients;
    }

    Polynomial operator+(const Polynomial& other) {
        int maxDegree = max(degree, other.degree);
        Polynomial result(maxDegree);

        for (int i = 0; i <= degree; i++) {
            result.coefficients[i] += coefficients[i];
        }

        for (int i = 0; i <= other.degree; i++) {
            result.coefficients[i] += other.coefficients[i];
        }

        return result;
    }
};

int main() {
    Polynomial p1(3);  // 创建一个最高次数为3的多项式对象
    p1[0] = 1;  // 设置系数
    p1[1] = 2;
    p1[2] = 3;
    p1[3] = 4;

    Polynomial p2(2);  // 创建一个最高次数为2的多项式对象
    p2[0] = 5;  // 设置系数
    p2[1] = 6;
    p2[2] = 7;

    Polynomial sum = p1 + p2;  // 多项式相加
    // 输出相加结果
    for (int i = sum.getDegree(); i >= 0; i--) {
        cout << sum[i] << "x^" << i << " ";
    }
    cout << endl;

    return 0;
}