Maximal GCD 题目链接:http://codeforces.com/contest/803/problem/C 题目大意: 给你n,k(1<=n,k<=1e10). 要你输出k个数,满足一下条件: ①这k个数之和等于n ②每个满足①条件的数列有最大公约数q,输出q最大的数列. 思路: 我们只需要找出这个最大的q是什么.q满足: ①q是n的 公约数 ②n/q>=(1+2+3+···+k) ③q是满足①②中的最大的 只需要通过for(long long i=1;i<sqrt(…

C. Maximal GCD time limit per test: 1 second memory limit per test: 256 megabytes input: standard input output: standard output You are given positive integer number n. You should create such strictly increasing sequence of k positive numbers a1, a2,…

You are given positive integer number n. You should create such strictly increasing sequence of k positive numbers a1, a2, ..., ak, that their sum is equal to n and greatest common divisor is maximal. Greatest common divisor of sequence is maximum of…

题目链接:http://codeforces.com/contest/803/problem/C 中了若干trick之后才过... k个数的严格递增序列最小权值和就是${n*(n+1)/2}$,枚举这些数字增加的倍数x,使得序列变成${x,2x,3x...kx}$,然后再使最后一个数字变大满足要求就可以了,枚举的复杂度是根号$n$的. 要注意枚举倍数$x$的时候还要顺便枚举了$n/x$,然后${n*(n+1)/2}$这个东西是会爆long long的. #include<iostream> #…

题目描述: H. Maximal GCD time limit per test 1 second memory limit per test 256 megabytes input standard input output standard output You are given positive integer number n. You should create such strictly increasing sequence of k positive numbers a1, a…

枚举. 枚举$gcd$,然后计算剩下的那个数能不能分成$k$个递增的数. #include <iostream> #include <cstdio> #include <cstring> #include <string> #include <cmath> #include <queue> #include <stack> #include <vector> #include <map> #incl…

http://codeforces.com/contest/803/problem/C [题意] 给定两个数n,k(1 ≤ n, k ≤ 10^10) 要你输出k个数,满足以下条件: ①这k个数之和等于n ②严格递增 ②输出的这k个数的最大公约数q尽可能大. [思路] 因为是严格递增,所以sum[k]>=k(k+1)/2,而n<=1e10,所以k应该在1e5多一点. 可以找出最大的满足n<=1e10的k,给定的k超出这个直接输出-1. 然后接下来考虑怎么使最大公约数最大: 因为q肯定也是…

803C - Maximal GCD 思路: 最大的公约数是n的因数: 然后看范围k<=10^10; 单是答案都会超时: 但是,仔细读题会发现,n必须不小于k*(k+1)/2: 所以,当k不小于10^5时直接-1就好: 我们可以构造出gcd为1的序列为 1,2,3,4……n-k+1: 然后一个个枚举n的因子p: 1*p,2*p,3*p……(n-k+1)*p: 当枚举的p使得序列不满足于严格递增时,结束,输出合法答案: 来,上代码: #include <cmath> #include &l…

C. Maximal GCD time limit per test 1 second memory limit per test 256 megabytes input standard input output standard output You are given positive integer number n. You should create such strictly increasing sequence of k positive numbers a1, a2, ...…

C. Maximal GCD time limit per test 1 second memory limit per test 256 megabytes input standard input output standard output You are given positive integer number n. You should create such strictly increasing sequence of k positive numbers a1, a2, ...…