UVA.136 Ugly Numbers (优先队列) 题意分析 如果一个数字是2,3,5的倍数,那么他就叫做丑数,规定1也是丑数,现在求解第1500个丑数是多少. 既然某数字2,3,5倍均是丑数,且1为丑数,那么不妨从1开始算起.算完之后2,3,5均为丑数,然后再从2算起,4,5,10均为丑数--直到算到第1500个即可.那么有如下的问题: 如何从算出来的丑数中取出最小的? 如何保证没有计算重复的丑数? 对于第一个问题,可以采用优先队列的方法,即有序的队列,且为升序,每次只需要取出队首元素即可…

Ugly Numbers 题目 Ugly numbers are numbers whose only prime factors are 2, 3 or 5. The sequence 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, ... shows the first 11 ugly numbers. By convention, 1 is included. Write a program to find and print the 1500'th ugly nu…

丑数 丑数是指不能被2,3,5以外的其他素数整除的数.把丑数从小到大排列起来,结果如下: 1,2,3,4,5,6,8,9,10,12,15,… 求第1500个丑数. 提示:从小到大生成各个丑数.最小的丑数是1,对于任意丑数x,2x,3x和5x也是丑数.使用一个优先队列保存已生成的丑数,每次取出最小的丑数,生成3个新的丑数.需要注意,同一个丑数有多种生成方式,所以需要判断一个丑数是否已经生成过. 题目链接:https://vjudge.net/contest/211547#problem/G #i…

题意 PDF 分析 用堆和集合维护即可. 时间复杂度\(O(1500 \log n)\) 代码 #include<iostream> #include<cstdio> #include<cstdlib> #include<cmath> #include<set> #include<map> #include<queue> #include<stack> #include<algorithm> #in…

Ugly numbers are numbers whose only prime factors are 2, 3 or 5. The sequence 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, ... shows the first 11 ugly numbers. By convention, 1 is included. Write a program to find and print the 1500’th ugly number. Input Ther…

Problem Description Ugly numbers are numbers whose only prime factors are 2, 3 or 5. The sequence 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, ...shows the first 11 ugly numbers. By convention, 1 is included. Write a program to find and print the 1500’th ugly…

题目链接:http://poj.org/problem?id=1338 Ugly Numbers Time Limit: 1000MS   Memory Limit: 10000K Total Submissions: 21920   Accepted: 9789 Description Ugly numbers are numbers whose only prime factors are 2, 3 or 5. The sequence 1, 2, 3, 4, 5, 6, 8, 9, 10,…

丑数(Ugly Numbers, UVa 136) 题目描述 我们把只包含因子2.3和5的数称作丑数(Ugly Number).求按从小到大的顺序的第1500个丑数.例如6.8都是丑数,但14不是,因为它包含因子7.习惯上我们把1当做第一个丑数. 算法实现 版本1:错误版本 //#define LOCAL #include<iostream> #include<cstdio> #include<queue> /* 输出第1500个丑数 */ using namespac…

[POJ1338]Ugly Numbers 试题描述 Ugly numbers are numbers whose only prime factors are 2, 3 or 5. The sequence 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, ... shows the first 10 ugly numbers. By convention, 1 is included. Given the integer n,write a program to find an…

Ugly Numbers Descriptions: Ugly numbers are numbers whose only prime factors are 2, 3 or 5. The sequence 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, ... shows the first 11 ugly numbers. By convention, 1 is included. Write a program to find and print the 1500…