C++重载*用于多项式乘法

ax^n + bx^(n-1) + ... + k

class Polynomial {
public:
    // 构造函数
    Polynomial(int n, int* coeffs) : n(n), coeffs(coeffs) {}

    // 重载*运算符
    Polynomial operator*(const Polynomial& other) const {
        int* result_coeffs = new int[n + other.n];
        for (int i = 0; i < n + other.n; i++) {
            result_coeffs[i] = 0;
        }

        for (int i = 0; i < n; i++) {
            for (int j = 0; j< other.n; j++) {
                result_coeffs[i + j] += coeffs[i] * other.coeffs[j];
            }
        }

        return Polynomial(n + other.n, result_coeffs);
    }

private:
    int n;
    int* coeffs;
};