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  1. #include <bits/stdc++.h>
  2.  
  3. using namespace std;
  4.  
  5. #define int int64_t
  6.  
  7. const int inf = 1e17 + 1;
  8.  
  9. int try_pow(int x, int n)
  10. {
  11. int t = 1;
  12. for(int i = 0; i < n; i++)
  13. {
  14. t *= x;
  15. if(t > inf)
  16. return 0;
  17. }
  18. return t;
  19. }
  20.  
  21. int rootable(int x, int n)
  22. {
  23. int root = round(pow(x, 1. / n));
  24. return try_pow(root, n) == x;
  25. }
  26.  
  27. int les_root(int x, int n)
  28. {
  29. int root = round(pow(x, 1. / n));
  30. return try_pow(root, n) >= x ? root - 1 : root;
  31. }
  32.  
  33. const int maxx = 1e5;
  34. int uni[maxx];
  35.  
  36. signed main()
  37. {
  38. //freopen("input.txt", "r", stdin);
  39. ios::sync_with_stdio(0);
  40. cin.tie(0);
  41. int q;
  42. cin >> q;
  43. const int maxn = 52;
  44. vector<int> pw[maxn];
  45. for(int i = 4; i < maxn; i++)
  46. {
  47. for(int j = 1; ; j++)
  48. if(try_pow(j, i))
  49. pw[i].push_back(try_pow(j, i));
  50. else
  51. break;
  52. }
  53. while(q--)
  54. {
  55. int n, m;
  56. cin >> n >> m;
  57. int sz = 0;
  58. bool a1 = 0, a2 = 0, a3 = 0, a4 = 0;
  59. for(int i = 0; i < m; i++)
  60. {
  61. int t;
  62. cin >> t;
  63. a1 |= t == 1;
  64. a2 |= t == 2;
  65. a3 |= t == 3;
  66. a4 |= t == 4;
  67. if(t > 4)
  68. for(int j = 0; j < pw[t].size(); j++)
  69. uni[sz++] = pw[t][j];
  70. }
  71. if(a1)
  72. {
  73. cout << n << "\n";
  74. continue;
  75. }
  76. if(a2)
  77. for(int i = 0; i < sz; i++)
  78. if(rootable(uni[i], 2))
  79. uni[i] = inf;
  80. if(a3)
  81. for(int i = 0; i < sz; i++)
  82. if(rootable(uni[i], 3))
  83. uni[i] = inf;
  84. if(a4)
  85. for(int i = 0; i < sz; i++)
  86. if(rootable(uni[i], 4))
  87. uni[i] = inf;
  88. sort(uni, uni + sz);
  89. sz = unique(uni, uni + sz) - uni;
  90. int l = 0, r = inf;
  91. while(r - l > 1)
  92. {
  93. int m = (l + r) / 2;
  94. int pos = lower_bound(uni, uni + sz, m) - uni;
  95. if(a2) pos += les_root(m, 2);
  96. if(a3) pos += les_root(m, 3);
  97. if(a4) pos += les_root(m, 4);
  98. if(a2 && a3) pos -= les_root(m, 6);
  99. if(a2 && a4) pos -= les_root(m, 4);
  100. if(a3 && a4) pos -= les_root(m, 12);
  101. if(a2 && a3 && a4) pos += les_root(m, 12);
  102. if(pos < n)
  103. l = m;
  104. else
  105. r = m;
  106. }
  107. cout << l << "\n";
  108. }
  109. return 0;
  110. }
  111.  
Runtime error #stdin #stdout 0.04s 4624KB
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