帮我看看怎么在这个C++程序输入

Question

能不能帮看一下，这个程序我是从网上下载的，作用大概就是分解因式，能不能告诉我怎么在这里面输入而不是直接用它定义的变量

#include <iostream>
#include <vector>
#include <cmath>
#include <algorithm>
 
using namespace std;
 
// ¶¨Òå¶àÏîʽÊý¾Ý½á¹¹
struct Polynomial {
    vector<int> coefficients; // °´½µÃÝÅÅÁд洢¶àÏîʽϵÊý
 
    // »ñÈ¡¶àÏîʽµÄ½×Êý
    int degree() const {
        return coefficients.size() - 1;
    }
 
    // Êä³ö¶àÏîʽ
    void print() const {
        for (int i = 0; i < coefficients.size(); ++i) {
            int coeff = coefficients[i];
            int power = coefficients.size() - 1 - i;
            if (coeff != 0) {
                if (i > 0 && coeff > 0) cout << "+";
                if (coeff != 1 || power == 0) cout << coeff;
                if (power > 0) cout << "x";
                if (power > 1) cout << "^" << power;
            }
        }
        cout << endl;
    }
};
// շתÏà³ý·¨¼ÆËãÁ½¸öÕûÊýµÄ×î´ó¹«ÒòÊý
int gcd(int a, int b) {
    while (b != 0) {
        int temp = b;
        b = a % b;
        a = temp;
    }
    return abs(a);
}
 
// ¶àÏîʽϵÊýµÄ×î´ó¹«ÒòÊý
int poly_gcd(const Polynomial &poly) {
    int result = abs(poly.coefficients[0]);
    for (int coeff : poly.coefficients) {
        result = gcd(result, coeff);
    }
    return result;
}
// ÌáÈ¡¹«Òòʽ
Polynomial extract_common_factor(Polynomial &poly) {
    int factor = poly_gcd(poly);
    if (factor > 1) {
        for (int &coeff : poly.coefficients) {
            coeff /= factor;
        }
    }
    return Polynomial{{factor}};
}

// ³¢ÊÔÕÒµ½Ò»¸öÕûϵÊýµÄ¸ù
int find_root(const Polynomial &poly) {
    int constant_term = abs(poly.coefficients.back());
    for (int i = 1; i <= sqrt(constant_term); ++i) {
        if (constant_term % i == 0) {
            // ¼ì²éÕý¸º¸ù
            for (int root : {i, -i}) {
                int value = 0;
                for (int j = 0; j < poly.coefficients.size(); ++j) {
                    value = value * root + poly.coefficients[j];
                }
                if (value == 0) return root;
            }
        }
    }
    return 0; // δÕÒµ½¸ù
}
 
// ¶àÏîʽ³ý·¨£¨ÓÃÓÚÒòʽ·Ö½â£©
Polynomial divide(const Polynomial &poly, int root) {
    vector<int> new_coeffs;
    int remainder = 0;
    for (int coeff : poly.coefficients) {
        remainder = remainder * root + coeff;
        new_coeffs.push_back(remainder);
    }
    new_coeffs.pop_back(); // ÒƳý×îºóµÄÓàÊý
    return Polynomial{new_coeffs};
}
 
// Òòʽ·Ö½â
vector<Polynomial> factorize(Polynomial poly) {
    vector<Polynomial> factors;
 
    // ÌáÈ¡¹«Òòʽ
    Polynomial common_factor = extract_common_factor(poly);
    factors.push_back(common_factor);
 
    // ·Ö½âÊ£Óಿ·Ö
    while (poly.degree() > 1) {
        int root = find_root(poly);
        if (root == 0) break; // ÎÞ·¨ÕÒµ½ÕûϵÊý¸ù
 
        // ¹¹ÔìÒòʽ (x - root)
        Polynomial factor{{-root, 1}};
        factors.push_back(factor);
 
        // ¶àÏîʽ³ý·¨
        poly = divide(poly, root);
    }
 
    if (poly.degree() > 0) {
        factors.push_back(poly);
    }
 
    return factors;
}

int main() {
    Polynomial poly{{1, -6, 11, -6}}; // x^3 - 6x^2 + 11x - 6
    cout << "ԭʼ¶àÏîʽ: ";
    poly.print();
 
    vector<Polynomial> factors = factorize(poly);
    cout << "Òòʽ·Ö½â½á¹û: ";
    for (const auto &factor : factors) {
        factor.print();
        cout << " ";
    }
    cout << endl;
 
    return 0;
}

Answer 1

以下回复参考：皆我百晓生、券券喵儿等免费微信小程序作答:

这是一个C++程序，用于分解多项式因式。如果你想在这个程序中输入多项式而不是直接使用程序中定义的多项式，你可以修改main()函数中的部分代码来实现你的需求。具体步骤如下：

1. 首先，你可以通过控制台输入来定义一个多项式。可以使用cin来读取用户输入的多项式系数。
2. 然后，你可以调用factorize()函数来分解这个多项式的因式。

以下是一个修改后的main()函数的示例，允许用户输入一个多项式并分解其因式：

int main() {
    // 定义多项式系数向量
    vector<int> coeffs;
    // 提示用户输入多项式系数，以空格分隔
    cout << "请输入多项式系数，以空格分隔: ";
    int coeff;
    while (cin >> coeff) {
        coeffs.push_back(coeff);
    }
    // 创建多项式对象
    Polynomial poly(coeffs);
    cout << "原始多项式: ";
    poly.print();

    // 分解多项式因式
    vector<Polynomial> factors = factorize(poly);
    cout << "因式分解结果: ";
    for (const auto &factor : factors) {
        factor.print();
        cout << " ";
    }
    cout << endl;

    return 0;
}

当你运行程序时，它会提示你输入多项式的系数。例如，如果你想分解多项式 x^3 - 6x^2 + 11x - 6，你可以输入 1 -6 11 -6，然后按Enter键。程序将显示原始多项式及其因式分解结果。