#include <bits/stdc++.h>
using namespace std;
template<class T>
class SegmentTree {
public:
SegmentTree (int N) {
N = (1 << ((int)floor(log2(N - 1)) + 1));
this->N = N;
val.assign(2 * N, ID);
}
void update (int x, T y) {
x += N - 1;
val[x] = y;
while (x != 0) {
x = (x - 1)/2;
val[x] = merge(val[2 * x + 1], val[2 * x + 2]);
}
}
T query (int ind, const int l, const int r, int tl, int tr) {
if (tl >= l && tr <= r) {
return val[ind];
}
if (tr < l || tl > r) {
return ID;
}
return merge(query(2 * ind + 1, l, r, tl, (tl + tr)/2), query(2 * ind + 2, l, r, (tl + tr)/2 + 1, tr));
}
T query (int l, int r) {
return query(0, l, r, 0, N - 1);
}
private:
vector<T> val;
T ID = 1e9;
T merge (T x, T y) {
return min(x, y);
}
int N;
};
int main() {
int M, Q; cin >> M >> Q;
vector<int> p(M);
SegmentTree<int> st(M);
map<int,int> primes;
for (int i = 0; i < M; i++) {
cin >> p[i];
st.update(i, 0);
}
sort(p.begin(), p.end());
for (int i = 0; i < M; i++) {
primes[p[i]] = i;
st.update(i, 0);
}
int mx = 100000;
int res[mx];
bool isPrime[mx];
for (int i = 0; i < mx; i++) {
isPrime[i] = true;
}
isPrime[0] = isPrime[1] = false;
vector<int> fact[mx];
for (int i = 2; i < mx; i++) {
if (isPrime[i]) {
for (int j = 2 * i; j < mx; j += i) {
isPrime[j] = false;
fact[j].push_back(i);
}
fact[i].push_back(i);
}
}
for (int i = 1; i < mx; i++) {
int ans = 1e9;
set<int> invalid;
for (int j: fact[i]) {
if (primes.count(j)) {
invalid.insert(primes[j]);
}
}
invalid.insert(-1);
invalid.insert(p.size());
for (int j: invalid) {
auto it = invalid.upper_bound(j);
if (it == invalid.end()) continue;
if (j + 1 <= *it - 1) {
ans = min(ans, st.query(j + 1, *it - 1) + 1);
}
}
invalid.erase(-1), invalid.erase(p.size());
for (int j: invalid) {
st.update(j, ans);
}
res[i] = ans;
}
while (Q--) {
int x;
cin >> x;
if (res[x] == (int)1e9) {
cout << "oo\n";
} else {
cout << res[x] << '\n';
}
}
}
