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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.  
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https://ideone.com/aWIhkW
language:
C++14 (gcc 8.3)
created:
8 years ago
visibility:
secret

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