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 f first
#define s second
const int mx = 1e7+5;
const int maxn = 1e5+5;
typedef long long ll;
ll lim = 1;
int m, q, ans;
int dp[mx], pp[mx], mm[mx];
vector<int> primes;
int l = 0, r = 0;
pair<int, int> que[maxn*130];
int main(){
ios::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
cin >> m >> q;
for(int i = 2; i < mx; i++){
if(!pp[i]){
pp[i]=i;
primes.push_back(i);
}
for(auto v: primes){
if(i*v >= mx)break;
pp[i*v]=v;
if(i%v==0)break;
}
}
while(m--){
int x;
cin >> x;
if(!mm[x]){
lim*=x;
if(lim >= mx)lim = mx;
que[r++]={0, x};
}
mm[x] = 1;
}
for(int i = 1; i < lim; i++){
int tmp = i;
while(que[l].f < i-(i%que[l].s)){
l++;
}
dp[i] = dp[que[l].f]+1;
while(pp[tmp]){
int prv = pp[tmp];
while(pp[tmp] == prv){
tmp/=prv;
}
if(mm[prv])que[r++] = {i, prv};
}
}
while(q--){
int x;
cin >> x;
if(x >= lim)cout << "oo";
else cout << dp[x];
cout << "\n";
}
}
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