SGU113 Nearly prime numbers
2015-05-22 18:59
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SGU113 Nearly prime numbers
题目大意
输入N个数,输出每个数是否等于两个素数的乘积算法思路
统计每个数的质因子个数是否为2时间复杂度: O(V‾‾√)O(\sqrt V)
代码
/** * Copyright (c) 2015 Authors. All rights reserved. * * FileName: 113.cpp * Author: Beiyu Li <sysulby@gmail.com> * Date: 2015-05-22 */ #include <bits/stdc++.h> using namespace std; #define rep(i,n) for (int i = 0; i < (n); ++i) #define For(i,s,t) for (int i = (s); i <= (t); ++i) #define foreach(i,c) for (__typeof(c.begin()) i = c.begin(); i != c.end(); ++i) typedef long long LL; typedef pair<int, int> Pii; const int inf = 0x3f3f3f3f; const LL infLL = 0x3f3f3f3f3f3f3f3fLL; const int maxv = 100000 + 5; bool isp[maxv]; int prime[maxv], sz; void gen_prime() { sz = 0; memset(isp, true, sizeof(isp)); isp[0] = isp[1] = false; for (int i = 2; i < maxv; ++i) { if (isp[i]) prime[sz++] = i; for (int j = 0, t; j < sz && (t = prime[j] * i) < maxv; ++j) { isp[t] = false; if (i % prime[j] == 0) break; } } } int main() { gen_prime(); int n, v; scanf("%d", &n); rep(i,n) { int t = 0; scanf("%d", &v); rep(j,sz) { int p = prime[j]; if (p * p > v) break; while (v % p == 0) ++t, v /= p; } if (v > 1) ++t; puts(t == 2? "Yes": "No"); } return 0; }
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