Java程式列印100以下的質數
任何大於1的整數,只有兩個因數,即1和它本身,都稱為質數。除了這兩個數之外,它沒有其他的正除數。在這篇文章中,我們將解釋Java程式如何列印1到100之間的質數。
質數的幾個例子是:2、3、5、7、11等等。
列印100以下質數的步驟
按照以下步驟在Java中列印100以下的質數:
- 取一個整數變數,例如“A”
- 用(A-1到2)去除變數A
- 如果A不能被任何值(A-1到2)整除,那麼它就是一個質數。
- 從2到所需限制的所有數字重複此操作。
示例1
下面的Java程式列印100以下的質數。
public class First100Primes { public static void main(String args[]){ for(int i = 2; i<=100;){ int prime = 1; for(int loop = 2; loop <=i; loop++) { if((i % loop) == 0 && loop!=i) { prime = 0; } } if (prime != 0){ System.out.println(i +" is a prime number"); i++; } else i++; } } }
輸出
2 is a prime number 3 is a prime number 5 is a prime number 7 is a prime number 11 is a prime number 13 is a prime number 17 is a prime number 19 is a prime number 23 is a prime number 29 is a prime number 31 is a prime number 37 is a prime number 41 is a prime number 43 is a prime number 47 is a prime number 53 is a prime number 59 is a prime number 61 is a prime number 67 is a prime number 71 is a prime number 73 is a prime number 79 is a prime number 83 is a prime number 89 is a prime number 97 is a prime number
示例2
這是另一個列印100以下質數的Java程式。
public class First100Primes { public static void main(String[] args) { boolean[] prime = new boolean[100]; for (int i = 2; i < 100; i++) { prime[i] = true; } // finding non-prime numbers for (int i = 2; i * i < 100; i++) { if (prime[i]) { for (int j = i * i; j < 100; j += i) { prime[j] = false; } } } System.out.println("Prime numbers below 100: "); // printing prime numbers for (int i = 2; i < 100; i++) { if (prime[i]) { System.out.print(i + " "); } } } }
輸出
Prime numbers below 100: 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
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