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  1. #include <bits/stdc++.h>
  2.  
  3. using namespace std;
  4.  
  5. typedef long long ll;
  6. typedef unsigned long long ull;
  7. typedef pair<int, int> pii;
  8. typedef pair<ll, ll> pll;
  9. typedef vector<int> vi;
  10. typedef vector<ll> vll;
  11. typedef string str;
  12.  
  13. #define pb push_back
  14. #define mp make_pair
  15. #define fi first
  16. #define se second
  17. #define all(x) (x).begin(), (x).end()
  18. #define len(x) ((int)(x).size())
  19.  
  20. #define forn(i, n) for (int i = 0; i < (int)(n); ++i)
  21. #define forr(i, l, r) for (int i = (int)(l); i <= (int)(r); ++i)
  22. #define ford(i, r, l) for (int i = (int)(r); i >= (int)(l); --i)
  23.  
  24. #define cmin(a, b) a = min(a, b)
  25. #define cmax(a, b) a = max(a, b)
  26.  
  27. ll legendre(ll n, ll p) {
  28.     ll cnt = 0;
  29.     while (n > 0) {
  30.         cnt += n / p;
  31.         n /= p;
  32.     }
  33.     return cnt;
  34. }
  35.  
  36. int main() {
  37.     ios_base::sync_with_stdio(false);
  38.     cin.tie(NULL);
  39.  
  40.  
  41.  
  42.     ll n, m;
  43.     if (cin >> n >> m) {
  44.         if (m == 1) {
  45.             cout << 0 << "\n";
  46.             return 0;
  47.         }
  48.  
  49.         ll ans = 1e18;
  50.         ll temp = m;
  51.  
  52.         for (ll i = 2; i * i <= temp; ++i) {
  53.             if (temp % i == 0) {
  54.                 ll e = 0;
  55.                 while (temp % i == 0) {
  56.                     e++;
  57.                     temp /= i;
  58.                 }
  59.                 ll cnt = legendre(n, i);
  60.                 cmin(ans, cnt / e);
  61.             }
  62.         }
  63.  
  64.         if (temp > 1) {
  65.             ll cnt = legendre(n, temp);
  66.             cmin(ans, cnt / 1);
  67.         }
  68.  
  69.         cout << ans << "\n";
  70.     }
  71.  
  72.     return 0;
  73. }
  74.  
Success #stdin #stdout 0s 5348KB
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https://ideone.com/2WgTGg
language:
C++14 (gcc 8.3)
created:
1 day ago
visibility:
public

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