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  1. #include <bits/stdc++.h>
  2.  
  3. using namespace std;
  4.  
  5. typedef long long LL;
  6.  
  7. const LL MOD = 1e9 + 7;
  8.  
  9. int greatest_divisor(int n)
  10. {
  11.     for(int i = 2; i * i <= n; i++)
  12.     {
  13.         if(n % i == 0)
  14.         {
  15.             return n / i;
  16.         }
  17.     }
  18.  
  19.     return 1;
  20. }
  21.  
  22. int calculate_game(LL n)
  23. {
  24.     LL ret = (n * (n - 1)) / 2;
  25.     return ret % MOD;
  26. }
  27.  
  28. int main()
  29. {
  30.     ios_base::sync_with_stdio(false);
  31.     cin.tie(NULL);
  32.  
  33.     int t;
  34.  
  35.     cin>>t;
  36.  
  37.     while(t--)
  38.     {
  39.         int n;
  40.         LL match = 0;
  41.  
  42.         cin>>n;
  43.  
  44.         while(n > 1)
  45.         {
  46.             LL group = greatest_divisor(n);
  47.             LL team = n / group;
  48.             match = (match + ((group * calculate_game(team)) % MOD)) % MOD;
  49.             n = group;
  50.         }
  51.  
  52.         cout<<match<<endl;
  53.     }
  54.  
  55.     return 0;
  56. }
  57.  
Success #stdin #stdout 0.01s 5420KB
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https://ideone.com/UUuwEl
language:
C++ (gcc 8.3)
created:
335 days ago
visibility:
public

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