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  1. #include <bits/stdc++.h>
  2. using namespace std;
  3.  
  4. const int MAXN = 1000000;
  5. vector<long long> res;
  6.  
  7. void spf() {
  8. res.resize(MAXN + 1);
  9.  
  10. for (int i = 2; i <= MAXN; i++) {
  11. res[i] = i;
  12. }
  13.  
  14. for (int i = 2; i * i <= MAXN; i++) {
  15. if (res[i] == i) {
  16. for (int j = i * i; j <= MAXN; j += i) {
  17. if (res[j] == j) {
  18. res[j] = i;
  19. }
  20. }
  21. }
  22. }
  23. }
  24.  
  25. unordered_map<long long,long long> helper_fn(long long n) {
  26. unordered_map<long long,long long> mpp;
  27.  
  28. while (n != 1) {
  29. long long d = res[n];
  30. mpp[d]++;
  31. n /= d;
  32. }
  33. return mpp;
  34. }
  35.  
  36. int main() {
  37. spf();
  38.  
  39. int n;
  40. cin >> n;
  41. vector<int> nums(n);
  42.  
  43. for (int i = 0; i < n; i++) {
  44. cin >> nums[i];
  45. auto mpp = helper_fn(nums[i]);
  46. for (auto it : mpp) {
  47. cout << it.first << "^" << it.second << " ";
  48. }
  49. cout<<endl;
  50. }
  51. return 0;
  52. }
  53.  
Success #stdin #stdout 0.02s 11108KB
stdin
4
45 31 67 65
stdout
5^1 3^2 
31^1 
67^1 
13^1 5^1