#include <bits/stdc++.h>
#define ll long long
#define ld long double
#define pb push_back
#define VI vector<int>
#define VL vector<ll>
#define MX vector<VI >
#define all(x) x.begin(), x.end()
#define IOS cin.tie(0)->sync_with_stdio(0)

using namespace std;

ll gcd(ll a, ll b){
	if(!b) return a;
	return gcd(b, a%b);
}

int main(){

	int n, m;
	cin >> n >> m;

	VL a(n), b(m);
	for(ll &i : a) cin >> i;
	for(ll &i : b) cin >> i;

	sort(all(a));

	ll t = 0;
	for(int i=1; i<n; i++) t = gcd(a[i]-a[i-1], t);

	for(ll &i : b) cout << gcd(i+a[0], t) << ' ';
	cout << '\n';

	return 0;
}
