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- #include <bits/stdc++.h>
- using namespace std;
- #define ll long long
- #define ull unsigned int
- #define test int t; cin>>t; for(int cs=1;cs<=t;cs++)
- #define maX 100000002
- bitset<maX>marked;
- vector<ull>p;
- ull pre[maX+2];
- void sieve()
- {
- marked[0]=1;
- marked[1]=1;
- for(ll i=4; i<=maX; i+=2)
- {
- marked[i]=1;
- }
- p.push_back(2);
- for(ll i=3; i<=maX; i+=2)
- {
- if(marked[i]==0)
- {
- p.push_back(i);
- for(ll j=i*i; j<=maX; j+=i+i)
- {
- marked[j]=1;
- }
- }
- }
- }
- void precal()
- {
- pre[0]=2;
- for(ll i=1; i<p.size(); i++)
- {
- pre[i]=(pre[i-1]*p[i]);
- }
- }
- int main()
- {
- ios_base::sync_with_stdio(0);
- cin.tie(0);
- cout.tie(0);
- sieve();
- precal();
- test
- {
- ll n,i,k;
- ull ans=1;
- cin>>n;
- k = upper_bound(p.begin(),p.end(),n)-p.begin();
- k--;
- ans*=pre[k];
- for(i=0;p[i]*p[i]<=n && i<p.size(); i++)
- {
- ll x=n;
- ll j=0;
- while(x/p[i])
- {
- x/=p[i];
- j++;
- }
- ans*=pow(p[i],j-1);
- }
- if(n==1) ans=1;
- cout<<"Case "<<cs<<": "<<ans<<endl;
- }
- return 0;
- }
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