This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
#define for_(i, s, e) for (int i = s; i < (int) e; i++)
#define for__(i, s, e) for (ll i = s; i < e; i++)
typedef long long ll;
typedef vector<int> vi;
typedef pair<int, int> ii;
#define endl '\n'
const int MXV = 1e5;
vi facs[MXV+2];
int ans[MXV+2], curVal[MXV+2];
int main() {
#ifdef shiven
freopen("test.in", "r", stdin);
#endif
ios_base::sync_with_stdio(false);
cin.tie(0);
int n, q; cin >> n >> q;
vi primes(n);
for_(i, 0, n) cin >> primes[i];
for (int i: primes) for (int j = i; j <= MXV; j += i) facs[j].push_back(i);
set<ii> vals;
for (int i: primes) vals.insert({0, i});
for_(i, 1, MXV+1) {
//cout << i << ":: ";
for (auto p: facs[i]) if (vals.count({curVal[p], p})) vals.erase({curVal[p], p});
//for (ii c: vals) cout << c.first << " " << c.second << endl;
//cout << endl;
if (vals.size()) ans[i] = (*vals.begin()).first+1;
else ans[i] = -1;
if (ans[i] != -1) for (auto p: facs[i]) vals.insert({curVal[p] = ans[i], p});
//cout << i << ": " << ans[i] << endl;
}
for_(x, 0, q) {
int k; cin >> k;
if (ans[k] == -1) cout << "oo";
else cout << ans[k];
cout << endl;
}
return 0;
}
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