Question:
Print out all prime numbers within N
(Video tutorial sharing: java course)
Idea:
The definition of a prime number is that its factors are only 1 and itself, so when we judge, we can judge based on whether the number traversed has factors other than 1 and itself. At the same time, we know that if there is a factor (that is, if it is a composite number), then the factor must be smaller than this number, and we will eliminate it.
Code implementation:
package Algorithm.Interview; import java.util.ArrayList; import java.util.List; public class primeNum { public List<Integer> PrintPrime(int n){ List<Integer> Prime = new ArrayList<>(); //2也是質(zhì)數(shù) Prime.add(2); //外循環(huán)遍歷N以內(nèi)的所有數(shù),1不是質(zhì)數(shù),2是質(zhì)數(shù),所以從2開(kāi)始遍歷 for (int i = 2; i <= n; i++) { //內(nèi)循環(huán)遍歷小于要判斷的數(shù)的因子,即要判斷的數(shù)是否有除了1和它本身的因子 for (int j = 2; j < i; j++) { //如果有因子,直接跳出內(nèi)循環(huán),到外循環(huán)遍歷下一個(gè)數(shù) if (i % j == 0){ break; } //如果沒(méi)有因子,判斷j = i-1這個(gè)數(shù),能循環(huán)到i-1說(shuō)明之前的j都沒(méi)有跳出循環(huán),來(lái)判斷最后一個(gè)小于i的數(shù)是不是i的因子 else if (j == i -1 && i % j != 0){ Prime.add(i); } } } return Prime; } public static void main(String[] args) { primeNum primeNum = new primeNum(); System.out.println(primeNum.PrintPrime(100)); } }
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