Given an integer n, return the number of trailing zeroes in n!. Note: Your solution should be in logarithmic time complexity. 解题思路: 计算n能达到的5的最大次幂,算出在这种情况下能提供的5的个数,然后减去之后递归即可,JAVA实现如下: static public int trailingZeroes(int n) { if(n<25) return n/5; lon…

题目 Given an integer n, return the number of trailing zeroes in n!. Note: Your solution should be in logarithmic time complexity. 分析 Note中提示让用对数的时间复杂度求解,那么如果粗暴的算出N的阶乘然后看末尾0的个数是不可能的. 所以仔细分析,N! = 1 * 2 * 3 * ... * N 而末尾0的个数只与这些乘数中5和2的个数有关,因为每出现一对5和2就会产生…

Given an integer n, return the number of trailing zeroes in n!. Note: Your solution should be in logarithmic time complexity. 主要是思考清楚计算过程: 将一个数进行因式分解,含有几个5就可以得出几个0(与偶数相乘). 代码很简单. public class Solution { public int trailingZeroes(int n) { int result =…

题目描述: Given an integer n, return the number of trailing zeroes in n!. Note: Your solution should be in logarithmic time complexity. 解题思路: 对于阶乘而言,也就是1*2*3*...*n[n/k]代表1~n中能被k整除的个数那么很显然[n/2] > [n/5] (左边是逢2增1,右边是逢5增1)[n/2^2] > [n/5^2](左边是逢4增1,右边是逢25增1)…

Given an integer n, return the number of trailing zeroes in n!. Example 1: Input: 3 Output: 0 Explanation: 3! = 6, no trailing zero. Example 2: Input: 5 Output: 1 Explanation: 5! = 120, one trailing zero. Note: Your solution should be in logarithmic…

Given an integer n, return the number of trailing zeroes in n!. Note: Your solution should be in logarithmic time complexity. 题目标签:Math 题目要求我们找到末尾0的数量. 只有当有10的存在,才会有0,比如 2 * 5 = 10; 4 * 5 = 20; 5 * 6 = 30; 5 * 8 = 40 等等,可以发现0 和 5 的联系. 所以这一题也是在问 n 里有多…

给定一个数n 求出n!的末尾0的个数. n!的末尾0产生的原因其实是n! = x * 10^m 如果能将n!是2和5相乘,那么只要统计n!约数5的个数. class Solution { public: int trailingZeroes(int n) { ; ,n/=); return ans; } };…

数字的末尾为0实际上就是乘以了10,20.30.40其实本质上都是10,只不过是10的倍数.10只能通过2*5来获得,但是2的个数众多,用作判断不准确. 以20的阶乘为例子,造成末尾为0的数字其实就是5.10.15.20. 多次循环的n,其实是使用了多个5的数字,比如25,125等等. n/5代表的是有多个少含5的数,所以不是count++,而是count += n/5 class Solution { public: int trailingZeroes(int n) { ; while(n)…

所有的0都是有2和45相乘得'到的,而在1-n中,2的个数是比5多的,所以找5的个数就行 但是不要忘了25中包含两个5,125中包含3个5,以此类推 所以在找完1-n中先找5,再找25,再找125....直到n/5商为0 return n==0?0:n/5+trailingZeroes(n/5);…

/* * Problem 172: Factorial Trailing Zeroes * Given an integer n, return the number of trailing zeroes in n!. * Note: Your solution should be in logarithmic time complexity. */ /* * Solution 1 * 对于每一个数字,累计计算因子10.5.2数字出现的个数,结果等于10出现的个数,加上5和2中出现次数较少的 *…

Factorial Trailing Zeroes Given an integer n, return the number of trailing zeroes in n!. Note: Your solution should be in logarithmic time complexity. Credits:Special thanks to @ts for adding this problem and creating all test cases. 对n!做质因数分解n!=2x*…

作者: 负雪明烛 id: fuxuemingzhu 个人博客: http://fuxuemingzhu.cn/ 目录 题目描述 题目大意 递归 循环 日期 题目描述 Given an integer n, return the number of trailing zeroes in n!. Example 1: Input: 3 Output: 0 Explanation: 3! = 6, no trailing zero. Example 2: Input: 5 Output: 1 Expl…

一天一道LeetCode 本系列文章已全部上传至我的github,地址:ZeeCoder's Github 欢迎大家关注我的新浪微博,我的新浪微博 欢迎转载,转载请注明出处 (一)题目 Given an integer n, return the number of trailing zeroes in n!. Note: Your solution should be in logarithmic time complexity. (二)解题 题目大意:求n的阶乘算出来的数尾部有多少个0.如5…

题目: Given an integer n, return the number of trailing zeroes in n!. Note: Your solution should be in logarithmic time complexity. 链接: http://leetcode.com/problems/factorial-trailing-zeroes/ 题解: 求n!里有多少个0.其实主要就是看有多少个5,有多少个5就有多少个0,这样我们就可以用一个while循环来搞定.…

题目描述: Given an integer n, return the number of trailing zeroes in n!. Note: Your solution should be in logarithmic time complexity. 解题思路: 这个题目给的评级是easy,其实只要想到要求n!中0的个数,能够得到0的只有:2,4,5,10,100....而这里面又以5最为稀缺,所以说我们可以得出阶乘的最终结果中的0的数量等于因子中5的数量,比如说10,阶乘含两个0,…

Given an integer n, return the number of trailing zeroes in n!. Note: Your solution should be in logarithmic time complexity. 思路:编程之美里有,就是找因子5的个数. int trailingZeroes(int n) { ; ) { ans += n / ; n /= ; } return ans; }…

Given an integer n, return the number of trailing zeroes in n!. 最初的代码 class Solution { public: int trailingZeroes(int n) { long long int fac = 1; int count=0; if (n==0) fac = 1; for(int i = n;i>0;i--) { fac *= i ; } while(fac % 10 == 0) { count ++; f…

Given an integer n, return the number of trailing zeroes in n!. Note: Your solution should be in logarithmic time complexity. (1) class Solution { public: int trailingZeroes(int n) { ; ; n / i; i *= ) { ans += n / i; } return ans; } }; (2) class Solu…

题目: Given an integer n, return the number of trailing zeroes in n!. Note: Your solution should be in logarithmic time complexity. 思路: 题意是要求一个数字的阶乘,末尾有多少个0 要求是对数级别的时间,所以考虑用递归 分析一下,产生一个10,后面加0,找到所有的2*5,或者2的次方×5的次方,任何情况下因子2的个数永远大于5 所以只需要计算因子5的个数,(25*4 =…

Given an integer n, return the number of trailing zeroes in n!. Example 1: Input: 3 Output: 0 Explanation: 3! = 6, no trailing zero. Example 2: Input: 5 Output: 1 Explanation: 5! = 120, one trailing zero. Note: Your solution should be in logarithmic…

Given an integer n, return the number of trailing zeroes in n!. Example 1: Input: 3 Output: 0 Explanation: 3! = 6, no trailing zero. Example 2: Input: 5 Output: 1 Explanation: 5! = 120, one trailing zero. 考虑n!的质数因子.后缀0总是由质因子2和质因子5相乘得来的.如果我们可以计数2和5的个数…

#-*- coding: UTF-8 -*-#给定一个整数N,那么N的阶乘N!末尾有多少个0? 比如:N=10,N!=3628800,N!的末尾有2个0.#所有的尾部的0可以看做都是2*5得来的,所以通过计算所有的因子中2和5的个数就可以知道尾部0的个数.#实际上,2的个数肯定是足够的,所以只需计算5的个数即可.#要注意,25=5*5是有两个5的因子:125=5*5*5有3个5的因子.比如,计算135!末尾0的个数.#首先135/5 = 27,说明135以内有27个5的倍数:27/5=5,说明1…

给定一个整数 n,返回 n! 结果尾数中零的数量.注意: 你的解决方案应为对数时间复杂度. 详见:https://leetcode.com/problems/factorial-trailing-zeroes/description/ Java实现: N的阶乘可以分解为: 2的X次方,3的Y次方,4的K次方,5次Z方,.....的乘积.由于10 = 2 * 5,所以M只能和X和Z有关,每一对2和5相乘就可以得到一个10,于是M = MIN(X,Z),不难看出X大于Z,因为被2整除的频率比被5整除…

Problem: Write a program to check whether a given number is an ugly number. Ugly numbers are positive numbers whose prime factors only include 2, 3, 5. For example, 6, 8 are ugly while 14 is not ugly since it includes another prime factor 7. Note tha…

Problem: Description: Count the number of prime numbers less than a non-negative number, n. Analysis: The idea to test if a number is prime. Reference: https://en.wikipedia.org/wiki/Prime_number Prime number is an important category of problems. It i…

172. 阶乘后的零 172. Factorial Trailing Zeroes 题目描述 给定一个整数 n,返回 n! 结果尾数中零的数量. LeetCode172. Factorial Trailing Zeroes 示例 1: 输入: 3 输出: 0 解释: 3! = 6,尾数中没有零. 示例 2: 输入: 5 输出: 1 解释: 5! = 120,尾数中有 1 个零. 说明: 你算法的时间复杂度应为 O(log n). Java 实现 递归 class Solution { publi…

172. Factorial Trailing Zeroes Easy Given an integer n, return the number of trailing zeroes in n!. Example 1: Input: 3 Output: 0 Explanation: 3! = 6, no trailing zero. Example 2: Input: 5 Output: 1 Explanation: 5! = 120, one trailing zero. Note: You…

数学题 172. Factorial Trailing Zeroes Given an integer n, return the number of trailing zeroes in n!. Note: Your solution should be in logarithmic time complexity. (Easy) 分析:求n的阶乘中末位0的个数,也就是求n!中因数5的个数(2比5多),简单思路是遍历一遍,对于每个数,以此除以5求其因数5的个数,但会超时. 考虑到一个数n比他小…

Factorial Trailing Zeroes Given an integer n, return the number of trailing zeroes in n!. 题目意思: n求阶乘以后,其中有多少个数字是以0结尾的. 方法一: class Solution: # @return an integer def trailingZeroes(self, n): res = 0 if n < 5: return 0 else: return n/5+ self.trailingZe…

题目 Given an integer n, return the number of trailing zeroes in n!. Note: Your solution should be in logarithmic time complexity. Credits: Special thanks to @ts for adding this problem and creating all test cases. 分析 题目描述:给定一个整数n,求对于n!末尾0的个数. 开始看到的时候并…