Product Time Limit: 6000/3000 MS (Java/Others)    Memory Limit: 131072/131072 K (Java/Others) Problem Description Given a number sequence A1,A2....An,indicating N=∏ni=1iAi.What is the product of all the divisors of N?   Input There are multiple test…

题意: 给出一个长度为\(n(1 \leq n \leq 10^5)\)的序列\(A_i\),\(N=\prod\limits_{i=1}^{n}i^{A_i}\).求\(N\)的所有约数的乘积. 分析: 首先还是将\(N\)质因数分解,\(N=\prod\limits_{i=1}^{k}p_i^{e_i}\). 考虑素因子\(p_a\)对结果的贡献,含有且仅含有\(p_a^x\)的约数有\(\frac{\prod\limits_{i=1}^{k}e_i+1}{e_a+1}\)个. 所以\(p_…

Product  Accepts: 21  Submissions: 171  Time Limit: 6000/3000 MS (Java/Others)  Memory Limit: 131072/131072 K (Java/Others) 问题描述 给n个数{A}_{1},{A}_{2}....{A}_{n}A​1​​,A​2​​....A​n​​,表示N=\prod_{i=1}^{n}{i}^{{A}_{i}}N=∏​i=1​n​​i​A​i​​​​.求N所有约数之积. 输入描述 输入…

D. Multipliers 题目连接: http://codeforces.com/contest/615/problem/D Description Ayrat has number n, represented as it's prime factorization pi of size m, i.e. n = p1·p2·...·pm. Ayrat got secret information that that the product of all divisors of n take…

题目看了很久没看懂 就是给你数n,一种函数S(k),S(k)代表把数n拆成k个数的不同方案数,注意如n=3,S(2)是算2种的,最后让你求S(1~n)的和模1e9+7,n<=1e100000.那么其实一个S(k)就是把n个小球放到k-1个盒子里的种类数,求和也就是求个$2^{n-1}$. n超大,但是模数只有1e9+7,用欧拉定理就行了. /** @Date : 2017-09-12 18:41:59 * @FileName: HDU 4704 欧拉定理 降幂.cpp * @Platform:…

让你求$2004^x$所有因子之和,因子之和函数是积性函数$\sigma(n)=\sum_{d|n}d=\prod_{i=0}^{m}(\sum_{j=0}^{k_i}{P_i^{j}})$可用二项式定理证明,然后2004是给定的固定数,然后该怎么求就怎么求 /** @Date : 2017-09-08 18:56:21 * @FileName: HDU 1452 欧拉定理.cpp * @Platform: Windows * @Author : Lweleth (SoungEarlf@gmai…

输入n个点,然后从第一个点开始,依次链接点i->点i+1,最后回到第一点(输入中的点n),求得到的图形将平面分成了多少部分. 根据欧拉定理 v_num + f_num - e_num = 2可知,求出点数跟边数便能求出平面数. #include<algorithm> #include<iostream> #include<cstring> #include<cstdlib> #include<fstream> #include<sst…

2^x mod n = 1 Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others) Total Submission(s): 13341    Accepted Submission(s): 4143 Problem Description Give a number n, find the minimum x(x>0) that satisfies 2^x mod n = 1.  …

M斐波那契数列 Time Limit: 3000/1000 MS (Java/Others)    Memory Limit: 65535/32768 K (Java/Others) Problem Description M斐波那契数列F[n]是一种整数数列,它的定义如下: F[0] = aF[1] = bF[n] = F[n-1] * F[n-2] ( n > 1 ) 现在给出a, b, n,你能求出F[n]的值吗?   Input 输入包含多组测试数据:每组数据占一行,包含3个整数a, b…

呕,大一下学期的第一周结束啦,一周过的挺快也挺多出乎意料的事情的~ 随之而来各种各样的任务也来了,嘛毕竟是大学嘛,有点上进心的人多多少少都会接到不少任务的,忙也正常啦~端正心态 开心面对就好啦~ 今天突然回顾了一下<从你的全世界路过>这本书和电影,莫名的感悟涌上心头,收集到了一些走入人心的一些语句: 1.在季节的车上,如果你要提前下车,请别推醒装睡的我,这样我可以沉睡到终点,假装不知道你已经离开. 2.世事如书,我偏爱你这一句,愿做个逗号,待在你脚边.但你有自己的朗读者,而我只是个摆渡人. 3…

The Luckiest number Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 980    Accepted Submission(s): 301 Problem Description Chinese people think of '8' as the lucky digit. Bob also likes digit '8…

Problem Description Sample Input 2 Sample Output 2 Hint 1. For N = 2, S(1) = S(2) = 1. 2. The input file consists of multiple test cases. 解题思路:由于指数很大,要用到欧拉降幂公式,即扩展欧拉定理:$ a^n \equiv a^{n \; mod \;\varphi(p)} (mod \; p)$,其中$gcd(a, p) = 1$.题目的意思就是给出一个N,…

Matrix multiplication Time Limit: 4000/2000 MS (Java/Others)    Memory Limit: 131072/131072 K (Java/Others)Total Submission(s): 820    Accepted Submission(s): 328 Problem Description Given two matrices A and B of size n×n, find the product of them. b…

传送门:HDU 5895 Mathematician QSC 这是一篇很好的题解,我想讲的他基本都讲了http://blog.csdn.net/queuelovestack/article/details/52577212 [分析]一开始想简单了,对于a^x mod p这种形式的直接用欧拉定理的数论定理降幂了 结果可想而知,肯定错,因为题目并没有保证gcd(x,s+1)=1,而欧拉定理的数论定理是明确规定的 所以得另谋出路 那么网上提供了一种指数循环节降幂的方法 具体证明可以自行从网上找一找 有…

题目链接: http://acm.hdu.edu.cn/showproblem.php?pid=5976 Detachment Time Limit: 4000/2000 MS (Java/Others)Memory Limit: 65536/65536 K (Java/Others) 问题描述 In a highly developed alien society, the habitats are almost infinite dimensional space. In the histo…

题目链接: http://acm.hdu.edu.cn/showproblem.php?pid=5446 Unknown Treasure 问题描述 On the way to the next secret treasure hiding place, the mathematician discovered a cave unknown to the map. The mathematician entered the cave because it is there. Somewhere…

题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=3123 The GNU Compiler Collection (usually shortened to GCC) is a compiler system produced by the GNU Project supporting various programming languages. But it doesn’t contains the math operator “!”.In mat…

题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=5504 GT and sequence Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)Total Submission(s): 2223    Accepted Submission(s): 510 Problem Description You are given a sequen…

Unknown Treasure Time Limit: 1 Sec Memory Limit: 256 MB 题目连接 http://acm.hdu.edu.cn/showproblem.php?pid=5446 Description On the way to the next secret treasure hiding place, the mathematician discovered a cave unknown to the map. The mathematician ent…

2015上海区域赛现场赛第5题. 题目连接:http://acm.hdu.edu.cn/showproblem.php?pid=5572 题意:在平面上,已知圆(O, R),点B.A(均在圆外),向量V. 一个小球从A出发,沿速度向量V匀速前进,若撞到圆则发生弹性碰撞,沿“反射方向”继续匀速前进.问A点能否经过B点. 题目读懂了,把所有情况都考虑全,流程图就出来了,然后直接套模版即可(注意有些功能可剪裁~) 我的第一道计算几何,WA了一个星期啊...原因有姿势不对,精度不对,还有输出不对的. 不…

题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=5226 题意:给一个矩阵a,a[i][j] = C(i,j)(i>=j) or 0(i < j),求(x1,y1),(x2,y2)这个子矩阵里面的所有数的和. 思路:首先可以推导出一个公式C(n,i)+C(n + 1,i)+...+C(m,i) = C(m + 1,i + 1) 知道了这个公式,就可以将子矩阵里每行(或每列)的和值表示成组合数的差值,现在的关键是求出C(n,m)(mod p). 由于…

Triple Time Limit: 12000/6000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)Total Submission(s): 388    Accepted Submission(s): 148 Problem Description Given the finite multi-set A of n pairs of integers, an another finite multi-set B …

Fantasia Time Limit: 10000/5000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)Total Submission(s): 1654    Accepted Submission(s): 429 Problem Description Professor Zhang has an undirected graph G with n vertices and m edges. Each vert…

Cube number on a tree Time Limit: 20000/10000 MS (Java/Others)    Memory Limit: 65535/65535 K (Java/Others)Total Submission(s): 1628    Accepted Submission(s): 382 Problem Description The country Tom living in is famous for traveling. Every year, man…

Luogu5221 Product 求 \(\displaystyle\prod_{i=1}^n\prod_{j=1}^n{\frac{\operatorname{lcm}(i,\ j)}{\gcd(i,\ j)}}\) \(n\leq10^6\) 小清新数学题... 化式子 \[\displaystyle\prod_{i=1}^n\prod_{j=1}^n{\frac{\operatorname{lcm}(i,\ j)}{\gcd(i,\ j)}}\\=(\displaystyle\prod_…

题目链接 Problem Description Given the finite multi-set A of n pairs of integers, an another finite multi-set B of m triples of integers, we define the product of A and B as a multi-set C=A∗B={⟨a,c,d⟩∣⟨a,b⟩∈A, ⟨c,d,e⟩∈B and b=e} For each ⟨a,b,c⟩∈C, its B…

HDU 5976 Detachment(拆分) 00 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)   Problem Description - 题目描述 In a highly developed alien society, the habitats are almost infinite dimensional space. In the history of this planet,there is an o…

题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=3706 Second My Problem First Time Limit: 12000/4000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others) Problem Description Give you three integers n, A and B. Then we define Si = Ai mod B and…

http://acm.hdu.edu.cn/showproblem.php?pid=2123 Problem Description In this problem you need to make a multiply table of N * N ,just like the sample out. The element in the ith row and jth column should be the product(乘积) of i and j.   Input The first…

Bomber Man wants to bomb an Array. 题目连接: http://acm.hdu.edu.cn/showproblem.php?pid=5653 Description Given an array and some positions where to plant the bombs, You have to print the Total Maximum Impact. Each Bomb has some left destruction capability…