题目大意 https://leetcode.com/problems/count-primes/description/ 204. Count Primes Count the number of prime numbers less than a non-negative number, n. Example: Input: 10Output: 4Explanation: There are 4 prime numbers less than 10, they are 2, 3, 5, 7.…

题目描述: Description: Count the number of prime numbers less than a non-negative number, n. 解题思路: Let's start with a isPrime function. To determine if a number is prime, we need to check if it is not divisible by any number less than n. The runtime comp…

Description: Count the number of prime numbers less than a non-negative number, n. 解题思路: 空间换时间,开一个空间为n的数组,因为非素数至少可以分解为一个素数,因此遇到素数的时候,将其有限倍置为非素数,这样动态遍历+构造下来,没有被设置的就是素数. public int countPrimes(int n) { if (n <= 2) return 0; boolean[] notPrime = new boo…

Count the number of prime numbers less than a non-negative number, n. Example: Input: 10 Output: 4 Explanation: There are 4 prime numbers less than 10, they are 2, 3, 5, 7. References: How Many Primes Are There? Sieve of Eratosthenes Credits:Special…

Description: Count the number of prime numbers less than a non-negative number, n click to show more hints. References: How Many Primes Are There? Sieve of Eratosthenes Credits:Special thanks to @mithmatt for adding this problem and creating all test…

Description: Count the number of prime numbers less than a non-negative number, n. 题目标签:Hash Table 题目给了我们一个n, 让我们找出比n小的 质数的数量. 因为这道题目有时间限定,不能用常规的方法. 首先建立一个boolean[] nums,里面初始值都是false,利用index 和 boolean 的对应,把所有prime number = false:non-prime number = tr…

Problem: Count the number of prime numbers less than a non-negative number, n. Summary: 判断小于某非负数n的质数个数. Solution: 用所谓的"刷质数表"的方式先用HashTable记录小于n的所有数是质数还是合数,再逐一数出. 看了题目中的Hint才知道这种方法有一个更加高大上的名字Sieve of Eratosthenes 即在每判断一个数为质数时,将它的bei'shu倍数均计为合数. c…

Description: Count the number of prime numbers less than a non-negative number, n. Credits:Special thanks to @mithmatt for adding this problem and creating all test cases. 解析:大于1的自然数,该自然数能被1和它本身整除,那么该自然数称为素数. 方法一:暴力破解,时间复杂度为O(N^2) 代码如下: public class…

Count the number of prime numbers less than a non-negative number, n. 问题:找出所有小于 n 的素数. 题目很简洁,但是算法实现的优化层次有很多层.其中最主要思想的是采用 Sieve of Eratosthenes 算法来解答. 大思路为: 找出 n 范围内所有合数,并做标记. 未做标记的即为素数,统计未做标记的数个数即为原题目解. 如何找到 n 范围内所有合数? 将第一个素数 2 赋值给 i. 当 i 小于 n 时:(2)…

原题 原题链接 Description: Count the number of prime numbers less than a non-negative number, n. 计算小于非负数n的素数个数. 思路 这题用埃拉托斯特尼筛法来做效果比较好,普通的方法基本会TLE.但是在用了埃拉托斯特尼筛法之后,还有一些细节值得注意: (1)首先我们该用 i*i<=n 替代 i<=sqrt(n) 来避免使用 sqrt() ,因为sqrt()的操作是比较expensive的. (2)当要表示两个状…