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  1. #include <bits/stdc++.h>
  2. using namespace std;
  3.  
  4. vector<int> en_kucuk_asal_carpan_listesi(long long n) {
  5.     vector<int> en_kucuk_asal_carpan(n + 1);
  6.     for (int i = 2; i <= n; i++) {
  7.         if (en_kucuk_asal_carpan[i])
  8.             continue;
  9.         en_kucuk_asal_carpan[i] = i;
  10.         for (int k = 2 * i; k <= n; k += i) {
  11.             if (!en_kucuk_asal_carpan[k])
  12.                 en_kucuk_asal_carpan[k] = i;
  13.         }
  14.     }
  15.     return en_kucuk_asal_carpan;
  16. }
  17.  
  18. vector<pair<int, int>> carpanlara_ayir(int n, const vector<int> &en_kucuk_asal_carpan) {
  19.     vector<pair<int, int>> asal_carpan_kuvvetleri;
  20.     while (n > 1) {
  21.         int asal_carpan = en_kucuk_asal_carpan[n];
  22.         int us = 0;
  23.         while (n % asal_carpan == 0) {
  24.             n /= asal_carpan;
  25.             us++;
  26.         }
  27.         asal_carpan_kuvvetleri.push_back({asal_carpan, us});
  28.     }
  29.     return asal_carpan_kuvvetleri;
  30. }
  31.  
  32. int main() {
  33.     const int n = 1e8;
  34.     auto en_kucuk_asal_carpan = en_kucuk_asal_carpan_listesi(n);
  35.     const int sorgu_sayisi = 4e6;
  36.     int toplam_asal_carpan_sayisi = 0; // Derleyici optimizasyonlarının önüne geçmek için.
  37.     mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
  38.     for (int ornek = 0; ornek < sorgu_sayisi; ornek++) {
  39.         int sayi = uniform_int_distribution<int>(1, n)(rng);
  40.         auto asal_carpan_kuvvetleri = carpanlara_ayir(sayi, en_kucuk_asal_carpan);
  41.         for (auto &[asal, us] : asal_carpan_kuvvetleri)
  42.             toplam_asal_carpan_sayisi += us;
  43.     }
  44.     cout << toplam_asal_carpan_sayisi << "\n";
  45. }
Success #stdin #stdout 3.57s 393504KB
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https://ideone.com/NRXoTS
language:
C++14 (clang 8.0)
created:
1 year ago
visibility:
secret

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