#include <iostream>
#include <vector>
#include <algorithm>
#include <cmath>
using namespace std;

long long gcd(long long a, long long b) {
    return b == 0 ? a : gcd(b, a % b);
}

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    
    int n, Q;
    cin >> n >> Q;
    
    vector<long long> a(n);
    for (int i = 0; i < n; i++) {
        cin >> a[i];
    }
    
    // 计算差分数组的gcd
    long long g = 0;
    for (int i = 1; i < n; i++) {
        g = gcd(g, abs(a[i] - a[0]));
    }
    
    // 处理每个询问
    for (int i = 1; i <= Q; i++) {
        long long result = gcd(a[0] + i, g);
        cout << result << "\n";
    }
    
    return 0;
}

#include <iostream>
#include <vector>
#include <cmath>
using namespace std;

long long gcd(long long a, long long b) {
    a = abs(a);
    b = abs(b);
    while (b != 0) {
        long long temp = a % b;
        a = b;
        b = temp;
    }
    return a;
}

int main() {
    int n, Q;
    cin >> n >> Q;
    vector<long long> a(n);
    for (int i = 0; i < n; ++i) {
        cin >> a[i];
    }
    
    if (n == 1) {
        for (int i = 1; i <= Q; ++i) {
            cout << a[0] + i << endl;
        }
    } else {
        long long a0 = a[0];
        long long g = 0;
        for (int j = 1; j < n; ++j) {
            long long d = a[j] - a0;
            g = gcd(g, d);
        }
        for (int i = 1; i <= Q; ++i) {
            long long x = a0 + i;
            cout << gcd(x, g) << endl;
        }
    }
    
    return 0;
}