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>
#define fi first
#define se second
#define pitem item*
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef vector<int> vi;
typedef vector<ll> vl;
const int N=1e6+10;
const int SS=1<<19;
const int INFi=2e9;
const ll INFl=1e13;
const ll mod2=998244353;
const ll mod=1e9+7;
const ll mod3=1000696969;
const ll p=70032301;
const ull p2=913;
const int L=20;
int dp[N*10],ile[N*10],zap[N],t[N],last[N*10];
bitset<N*10>byl;
void solve(){
int n,m;
cin>>m>>n;
for(int i=1;i<=m;i++) cin>>t[i];
int maxi=0;
for(int i=1;i<=n;i++){
cin>>zap[i];
maxi=max(maxi,zap[i]);
}
for(int i=1;i<=m;i++) byl[t[i]]=1;
for(int i=2;i<=maxi;i++){
if(last[i]) continue;
for(int j=i;j<=maxi;j+=i) last[j]=i;
}
deque<int> curr;
curr.push_back(0);
ile[0]=m;
for(int i=1;i<=maxi;i++){
int xd=i,il=0,pop=0;
while(xd>1){
int u=last[xd];
if(byl[u] and pop!=u) ile[((i/u)-1)*u]--,il++;
pop=u;
xd/=u;
}
while(curr.size() and !ile[curr[0]]) curr.pop_front();
if(!curr.size()) dp[i]=INFi;
else dp[i]=min(dp[curr[0]]+1,INFi);
curr.push_back(i);
ile[i]=il;
}
for(int i=1;i<=n;i++){
if(dp[zap[i]]==INFi) cout<<"oo\n";
else cout<<dp[zap[i]]<<"\n";
}
}
int main(){
ios_base::sync_with_stdio(0),cin.tie(0);
solve();
}
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