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. JS 经验总结

    1.IE中div的高度是content+padding+border之和,其它的是content的高度 2.一个标签里面只有一个属性,class='cls1 cls2' 3.同一页面不能出现相同的id ...

  2. lua单链表实现

    List = {} --创建一个节点 function List.new(val) return {pnext = nil, value = val} end --往一个节点后添加一个节点 funct ...

  3. javascript中天气接口案例

    <!DOCTYPE html> <html lang="en"> <head> <meta charset="UTF-8&quo ...

  4. 解决Android单个dex文件不能超过65535个方法问题

    一.找坑:谷歌规定单个dex文件中的方法不能超过65536的限制 我们编写项目过程中在工程的lib文件夹下引用的第三方插件jar包太多或者项目过大,编译运行时就有可能报出com.android.dex ...

  5. (转)ORA-01502

    问题:ora-01502 索引或这类索引的分区处于不可用状态 引发:移动数据表分区,导致索引失效 解决:重建失效索引 1. select index_name ,status  from user_i ...

  6. java学习笔记5——String类常用方法

    1.字符串长度计算: int i = String1.length(); 2.字符串比较:1) equals()和equalsIgnoreCase //比较两个字符串对象的实体是否相同,相同输出tru ...

  7. sql server 的 isnull 函数

  8. openlayers5学习笔记-001

    tmp.initPoint = function (items) { //初始化所有农户点坐标,聚合 var count = items.length; var features = new Arra ...

  9. JS棋盘

    有一个棋盘,有64个方格,在第一个方格里面放1粒芝麻重量是0.00001kg, 第二个里面放2粒,第三个里面放4,棋盘上放的所有芝麻的重量 <!DOCTYPE html> <html ...

  10. Day 09 文件操作

    什么是文件 文件是操作系统为用户或应用程序提供的一个读写硬盘的虚拟单位.文件的操作是基于文件,即文件的操作核心就是:读和写.也 就是只要我们想要操作文件就是对操作系统发起请求,然后由操作系统将用户或应 ...