Mathematicians love all sorts of odd properties of numbers. For instance, they consider 945 to be an interesting number, since it is the first odd number for which the sum of its divisors is larger than the number itself.

To help them search for interesting numbers, you are to write a program that scans a range of numbers and determines the number that has the largest number of divisors in the range. Unfortunately, the size of the numbers, and the size of the range is such that a too simple-minded approach may take too much time to run. So make sure that your algorithm is clever enough to cope with the largest possible range in just a few seconds.

The first line of input specifies the number N of ranges, and each of the N following lines contains a range, consisting of a lower bound Land an upper bound U, where L and U are included in the range. L and U are chosen such that  and  .

For each range, find the number P which has the largest number of divisors (if several numbers tie for first place, select the lowest), and the number of positive divisors D of P (where P is included as a divisor). Print the text 'Between L and HP has a maximum of Ddivisors.', where LHP, and D are the numbers as defined above.

3
1 10
1000 1000
999999900 1000000000
Between 1 and 10, 6 has a maximum of 4 divisors.
Between 1000 and 1000, 1000 has a maximum of 16 divisors.
Between 999999900 and 1000000000, 999999924 has a maximum of 192 divisors. 题意:给你 a,b,让你找出 a,b之间因子最多的数是多少 b-a《=1000 我们枚举就好了
//meek
#include<bits/stdc++.h>
#include <iostream>
#include <cstdio>
#include <cmath>
#include <string>
#include <cstring>
#include <algorithm>
#include<map>
#include<queue>
using namespace std ;
typedef long long ll;
#define mem(a) memset(a,0,sizeof(a))
#define pb push_back
#define fi first
#define se second
#define MP make_pair const int N=;
const ll INF = 1ll<<;
const int inf = ;
const int MOD = ; ll cal(ll x) {
ll hav = ;
for(ll i = ; i*i <= x; i++) {
if(x % i == ) hav ++;
if(x % i == && x / i != i) hav++;
}
return hav;
}
int main() {
int T;
ll a,b,ans,tmp;
scanf("%d",&T);
while(T--) {
ans = -;
scanf("%lld%lld",&a,&b);
for(ll i = a; i <= b; i++) {
ll temp = cal( i );
if(temp > ans) {
ans = temp;
tmp = i;
}
}
printf("Between %lld and %lld, %lld has a maximum of %lld divisors.\n",a,b,tmp,ans);
}
return ;
}

代码

UVA 294 - Divisors 因子个数的更多相关文章

  1. UVA - 294 Divisors【数论/区间内约数最多的数的约数个数】

    Mathematicians love all sorts of odd properties of numbers. For instance, they consider to be an int ...

  2. UVa 294 (因数的个数) Divisors

    题意: 求区间[L, U]的正因数的个数. 分析: 有这样一条公式,将n分解为,则n的正因数的个数为 事先打好素数表,按照上面的公式统计出最大值即可. #include <cstdio> ...

  3. UVA - 294 Divisors (约数)(数论)

    题意:输入两个整数L,U(1<=L<=U<=109,U-L<=10000),统计区间[L,U]的整数中哪一个的正约数最多.如果有多个,输出最小值. 分析: 1.求一个数的约数, ...

  4. UVa 294 - Divisors 解题报告 c语言实现 素数筛法

    1.题目大意: 输入两个整数L.H其中($1≤L≤H≤10^9,H−L≤10000$),统计[L,H]区间上正约数最多的那个数P(如有多个,取最小值)以及P的正约数的个数D. 2.原理: 对于任意的一 ...

  5. Uva 294 Divisors(唯一分解定理)

    题意:求区间内正约数最大的数. 原理:唯一分解定义(又称算术基本定理),定义如下: 任何一个大于1的自然数 ,都可以唯一分解成有限个质数的乘积  ,这里  均为质数,其诸指数  是正整数.这样的分解称 ...

  6. UVA 294 294 - Divisors (数论)

    UVA 294 - Divisors 题目链接 题意:求一个区间内,因子最多的数字. 思路:因为区间保证最多1W个数字,因子能够遍历区间.然后利用事先筛出的素数求出质因子,之后因子个数为全部(质因子的 ...

  7. Divisors (求解组合数因子个数)【唯一分解定理】

    Divisors 题目链接(点击) Your task in this problem is to determine the number of divisors of Cnk. Just for ...

  8. Almost All Divisors(求因子个数及思维)

    ---恢复内容开始--- We guessed some integer number xx. You are given a list of almost all its divisors. Alm ...

  9. POJ 2992 Divisors (求因子个数)

    题意:给n和k,求组合C(n,k)的因子个数. 这道题,若一开始先预处理出C[i][j]的大小,再按普通方法枚举2~sqrt(C[i][j])来求解对应的因子个数,会TLE.所以得用别的方法. 在说方 ...

随机推荐

  1. Three学习之曲线

    曲线 属性 1. .arcLengthDivisions 当通过.getLengths计算曲线的累积段长度时,此值决定了分割的数量.为了确保在使用.getSpacedPoint等方法时的精度,如果曲线 ...

  2. 豆瓣项目(用react+webpack)

    用豆瓣电影api的项目 电影列表组件渲染 步骤: 1. 发送Ajax请求 1.1 在组件的componentWillMount这个生命周期钩子中发送请求 1.2 发送ajax XMLHttpReque ...

  3. 了解jQuery的$符号

    $是什么? 可以使用typeof关键字来观察$的本质. console.log(type of $); //输出结果为function 因此可以得出结论,$其实就是一个函数.$(); 只是根据所给参数 ...

  4. Qt5 webview加载本地网页

    文件结构 qtchart.pro QT += core gui webkitwidgets greaterThan(QT_MAJOR_VERSION, 4): QT += widgets TARGET ...

  5. 还是UVa340

    #include<stdio.h> #define maxn 1010 int main() { int num,a[maxn],i,j,b[maxn]; ; &&num) ...

  6. (转)基于MVC4+EasyUI的Web开发框架形成之旅--权限控制

    http://www.cnblogs.com/wuhuacong/p/3361351.html 我在上一篇随笔<基于MVC4+EasyUI的Web开发框架形成之旅--框架总体界面介绍>中大 ...

  7. .NET 请求和接收FormData的值

    <body> <div> <!-- 上传单个文件---> <form action="/Home/UpdateFile2" enctype ...

  8. table中的td内容过长显示为固定长度,多余部分用省略号代替

    如何使td标签中过长的内容只显示为这个td的width的长度,之后的便以省略号代替. 给table中必须设置属性: table-layout: fixed; 然后给 td 设置: white-spac ...

  9. Vim 插件管理及安装

    1.先将ubuntu1204的软件源进行更新.sudo apt-get update 2.再在终端中敲如下命令,让程序自动安装,根据网速的好坏安装时间有长有短. wget -qO- https://r ...

  10. openlayers5学习笔记-map事件(moveend)

    //事件:地图移动结束 tmp.map.on('moveend', function (evt) { console.log(evt.frameState.extent); }); evt.frame ...