题目链接: http://poj.org/problem?id=1707 Language: Default Sum of powers Time Limit: 1000MS   Memory Limit: 10000K Total Submissions: 735   Accepted: 354 Description A young schoolboy would like to calculate the sum   for some fixed natural k and differe…

题目链接:http://poj.org/problem?id=1707 题意:给出n 在M为正整数且尽量小的前提下,使得n的系数均为整数. 思路: i64 Gcd(i64 x,i64 y) { if(y==0) return x; return Gcd(y,x%y); } i64 Lcm(i64 x,i64 y) { x=x/Gcd(x,y)*y; if(x<0) x=-x; return x; } struct fraction { i64 a,b; fraction() {} fractio…

POJ 2739 Sum of Consecutive Prime Numbers Time Limit:1000MS     Memory Limit:65536KB     64bit IO Format:%lld & %llu   Description Some positive integers can be represented by a sum of one or more consecutive prime numbers. How many such representati…

[CSAcademy]Sum of Powers 题目大意: 给定\(n,m,k(n,m,k\le4096)\).一个无序可重集\(A\)为合法的,当且仅当\(|A|=m\)且\(\sum A_i=n\).定义一个集合的贡献为\(\sum A_i^k\),求所有满足条件的集合的贡献之和. 思路: \(f[i][j]\)表示将\(j\)个数之和为\(i\)的方案数,有如下两种转移: \(f[i][j]+=f[i-1][j-1]\),表示新加入一个元素\(1\): \(f[i][j]+=f[i-j]…

POJ.2739 Sum of Consecutive Prime Numbers(水) 代码总览 #include <cstdio> #include <cstring> #include <vector> #include <cmath> #define nmax 10005 using namespace std; int prime[nmax],n; vector<int> vprime; void init() { memset(pri…

POJ 2739 Sum of Consecutive Prime Numbers(素数) http://poj.org/problem? id=2739 题意: 给你一个10000以内的自然数X.然后问你这个数x有多少种方式能由连续的素数相加得来? 分析: 首先用素数筛选法把10000以内的素数都找出来按从小到大保存到prime数组中. 然后找到数X在prime中的上界, 假设存在连续的素数之和==X, 那么一定是从一个比X小的素数開始求和(不会超过X的上界),直到和sum的值>=X为止. 所…

转帖:Euler's Sum of Powers Conjecture 存不存在四个大于1的整数的五次幂恰好是另一个整数的五次幂? 暴搜:O(n^4) 用dictionary:O(n^3) import itertools def euler(m): """Yield tuples (a, b, c, d, e) such that a^5 + b^5 + c^5 + d^5 = e^5, where all are integers, and 1 < a ≤ b ≤…

Description A young schoolboy would like to calculate the sum for some fixed natural k and different natural n. He observed that calculating ik for all i (1<=i<=n) and summing up results is a too slow way to do it, because the number of required ari…

自然数幂和: (1) 伯努利数的递推式: B0 = 1 (要满足(1)式,求出Bn后将B1改为1 /2) 参考:https://en.wikipedia.org/wiki/Bernoulli_number http://blog.csdn.net/acdreamers/article/details/38929067 使用分数类,代入求解 #include<cstdio> #include<iostream> #include<cstdlib> #include<…

题意: 求 ,要求M尽量小. 析:这其实就是一个伯努利数,伯努利数公式如下: 伯努利数满足条件B0 = 1,并且 也有 几乎就是本题,然后只要把 n 换成 n-1,然后后面就一样了,然后最后再加上一个即可. 代码如下: #pragma comment(linker, "/STACK:1024000000,1024000000") #include <cstdio> #include <string> #include <cstdlib> #inclu…