题解-Ehab's REAL Number Theory Problem

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题解-Ehab's REAL Number Theory Problem

Ehab's REAL Number Theory Problem 前置知识质数分解质因数无向无权图最小环<讲> Ehab's REAL Number Theory Problem/onCF 给 $n$ 个数 $a_i$($a_i$ 的因数个数不超过 $7$),求最少选出多少个数,使得乘积为完全平方.无解输出 $-1$. 数据范围:$1\le n\le 10^5$,$1\le a_i\le 10^6$. 没想到一场普通的 $\texttt{CF}$ 比赛能…

[E. Ehab's REAL Number Theory Problem](https://codeforces.com/contest/1325/problem/E) 数论+图论求最小环

E. Ehab's REAL Number Theory Problem 数论+图论求最小环题目大意: 给你一个n大小的数列,数列里的每一个元素满足以下要求: 数据范围是:$1<=a_i<=10^6$ $a_i$ 最多只有7个因数题目要求在这个数列找到一个最短的子数列,子数列的所有的数相乘是一个完全平方数. 题解: 这个题对于 $x^{3}$ 应该等价于 $x$ ,其实就是可以除去 $a_i$中的所有的平方项,显而易见,这个并不影响答案. 因为 $a_i$ 最多只…

Number Theory Problem（The 2016 ACM-ICPC Asia China-Final Contest 找规律）

题目: Mr. Panda is one of the top specialists on number theory all over the world. Now Mr. Panda is investigating the property of the powers of 2. Since 7 is the lucky number of Mr. Panda, he is always interested in the number that is a multiple of 7.…

Gym 101194A / UVALive 7897 - Number Theory Problem - [找规律水题][2016 EC-Final Problem A]

题目链接: http://codeforces.com/gym/101194/attachments https://icpcarchive.ecs.baylor.edu/index.php?option=com_onlinejudge&Itemid=8&page=show_problem&problem=5919 题意: 给出正整数 $N(1 \le N \le 10^5)$,询问对于正整数 $k$,有多少个小于 $2^N$ 的 $2^k-1$ 是 $7$ 的整数倍. 题解: $…

A. Number Theory Problem

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Codeforces Round #525 (Div. 2)E. Ehab and a component choosing problem

E. Ehab and a component choosing problem 题目链接:https://codeforces.com/contest/1088/problem/E 题意: 给出一个数,找出k个连通块,使得连通块里面点的和除以k最大.当选择不同数量的连通块有相同的最大值时,要求输出k最大的情况. 题解: 由于这个不等式average(x1,x2,x3...xn)<=max(x1,x2,...xn)成立(当且仅当x1=x2=...xn时,等号成立),而题目所求正好是连通块里面点和…

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D. Ehab and another another xor problem 题目链接:https://codeforces.com/contest/1088/problem/D Description: This is an interactive problem! Ehab plays a game with Laggy. Ehab has 2 hidden integers (a,b)(a,b). Laggy can ask a pair of integers (c,d)(c,d) a…