Sum of Consecutive Integers 题目链接 题意 问N能够分解成多少种不同的连续数的和. 思路 连续数是一个等差数列:$$ \frac{(2a1 + n -1)n}{2} = T$$ 那么\(\frac{2*T}{n}-n = 2*a1-1\),所以当\(n\)为\(T\)的奇因子的时候符合要求. 那么当\(n\)为偶数的时候\(\frac{2*T}{n}-(n-1) = 2*a1\);因为\((n-1)\)为奇数,\(2*a1\)为偶数,所以\(\frac{2T}{n}\…

题目链接:http://lightoj.com/volume_showproblem.php?problem=1278 题意:给你一个数n(n<=10^14),然后问n能用几个连续的数表示; 例如: 15 = 7+8 = 4+5+6 = 1+2+3+4+5,所以15对应的答案是3,有三种; 我们现在相当于已知等差数列的和sum = n, 另首项为a1,共有m项,那么am = a1+m-1: sum = m*(a1+a1+m-1)/2  -----> a1 = sum/m - (m-1)/2 a…

原文地址:https://blog.csdn.net/qq_37632935/article/details/79465213 给你一个数n(n<=10^14),然后问n能用几个连续的数表示; 求出sum奇因子的个数 就是答案  用算术基本定理的代码求就好了  vis设置为bool的 要不会翻车.. 答案要减一 因为1不是奇数 #include <iostream> #include <cstdio> #include <sstream> #include <…

http://www.lightoj.com/volume_showproblem.php?problem=1278 题意:问一个数n能表示成几种连续整数相加的形式 如6=1+2+3,1种. 思路:先列式子\(N=a+(a+1)+(a+2)+ ...+(a+k-1)=\frac{k·(2a+k-1)}{2} \) 继续化成\(2a-1=\frac{2N}{k} - k \) 可由左式得知,2a-1必为奇数,那么右式必定是一奇一偶,且都为2N的因子.所以只要分解因子记录个数,最后组合求一下即可.…

Sum of Consecutive Prime Numbers Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 20050   Accepted: 10989 Description Some positive integers can be represented by a sum of one or more consecutive prime numbers. How many such representatio…

题目链接: 传送门 Sum of Consecutive Prime Numbers Time Limit: 1000MS     Memory Limit: 65536K Description Some positive integers can be represented by a sum of one or more consecutive prime numbers. How many such representations does a given positive intege…

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…

Sum of Consecutive Prime Numbers Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 25225   Accepted: 13757 Description Some positive integers can be represented by a sum of one or more consecutive prime numbers. How many such representatio…

Sum of Consecutive Prime Numbers http://poj.org/problem?id=2739 Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 28929   Accepted: 15525 Description Some positive integers can be represented by a sum of one or more consecutive prime numbe…

Sum of Consecutive Prime Numbers Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 19697   Accepted: 10800 Description Some positive integers can be represented by a sum of one or more consecutive prime numbers. How many such representatio…