#include <bits/stdc++.h>
using namespace std;
#define int long long int
#define double long double
#define print(a) for(auto x : a) cout << x << " "; cout << endl
const int M = 1000000007;
const int N = 3e5+9;
const int INF = 2e9+1;
const int LINF = 2000000000000000001;
inline int power(int a, int b, int mod=M) {
int x = 1;
a %= mod;
while (b) {
if (b & 1) x = (x * a) % mod;
a = (a * a) % mod;
b >>= 1;
}
return x;
}
//_ ***************************** START Below *******************************
int gcd(int a, int b){
if(b==0) return a;
return gcd(b, a%b);
}
vector<int> a;
vector<int> b;
vector<int> consistency(int m, int n){
int gc = 0;
for(int i=1; i<m; i++) gc = gcd(gc, abs(a[i]-a[i-1]));
vector<int> ans(n);
for(int j=0; j<n; j++){
ans[j] = gcd(a[0] + b[j], gc);
}
return ans;
}
vector<int> practice(int m, int n){
}
void solve() {
int m, n;
cin>> m >> n;
a.resize(m);
for(int i=0; i<m; i++) cin >> a[i];
b.resize(n);
for(int i=0; i<n; i++) cin >> b[i];
auto ans = consistency(m, n);
for(auto& t : ans) cout << t << " "; cout << endl;
}
int32_t main() {
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int t = 1;
// cin >> t;
while (t--) {
solve();
}
return 0;
}
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