Прога

#include <iostream>
#include <ctime>
using namespace std;

int nod(int a, int b) {
    while (a != b)
        a > b ? a -= b : b -= a;
    return a;
}

int main(){
    setlocale(0, "");

    srand(time(NULL));

    int a1 = rand() % 10000 + 1;
    int b1 = rand() % 10000 + 1;
    int c1 = rand() % 10000 + 1;
    int d1 = rand() % 10000 + 1;
    int a2 = rand() % 10000 + 1;
    int b2 = rand() % 10000 + 1;
    int c2 = rand() % 10000 + 1;
    int d2 = rand() % 10000 + 1;
    int x0 = rand() % 10000 + 1;
    int y0 = rand() % 10000 + 1;
    int z0 = rand() % 10000 + 1;

    cout << a1 << " " << b1 << " " << c1 << " " << d1 << " " << a2 << " " << b2 << " " << c2 << " " << d2  << " " << x0 << " " << y0 << " " << z0 << endl;

    long long lambda = ((a1 * x0 + b1 * y0 + c1 * z0 + d1) / (a2 * x0 + b2 * y0 + c2 * z0 + d2)) * (-1);
    cout << lambda << endl;

    int A = 2 * (a1 + lambda * a2);
    int B = 2 * (b1 + lambda * b2);
    int C = 2 * (c1 + lambda * c2);
    int D = 2 * (d1 + d2);

    cout << A << " " << B << " " << C << " " << D << endl;

    int n = nod(((A, B), C), D);
    cout << n << endl;

    cout << A / n << " " << B / n << " " << C / n << " " << D / n << endl;

    system("pause");
    return 0;
}