Java 检查素数程序
什么是素数?
素数是指只能被 1 或它本身整除的数。例如,11 只能被 1 或它本身整除。其他素数 2、3、5、7、11、13、17……。
注意:0 和 1 不是素数。2 是唯一的偶素数。
Java 程序检查数字是否为素数
程序逻辑
- 我们需要将输入的数字,例如 17,从 2 除到 17 并检查余数。如果余数为 0,则该数字不是素数。
- 任何数字都不能被它本身的一半以上整除。所以我们只需要循环到
numberToCheck/2
。如果输入是 17,一半是 8.5,循环将迭代 2 到 8 的值 - 如果 numberToCheck 可以被另一个数字整除,则将 isPrime 标志设置为
false
,然后退出循环。
public class PrimenumberToCheckCheck { public static void main(String[] args) { int remainder; boolean isPrime=true; int numberToCheck=17; // Enter the numberToCheckber you want to check for prime //Loop to check whether the numberToCheckber is divisible any numberToCheckber other than 1 and itself for(int i=2;i<=numberToCheck/2;i++) { //numberToCheckber is divided by itself remainder=numberToCheck%i; System.out.println(numberToCheck+" Divided by "+ i + " gives a remainder "+remainder); //if remainder is 0 than numberToCheckber is not prime and break loop. Else continue the loop if(remainder==0) { isPrime=false; break; } } // Check value true or false, if isprime is true then numberToCheckber is prime otherwise not prime if(isPrime) System.out.println(numberToCheck + " is a Prime numberToCheckber"); else System.out.println(numberToCheck + " is not a Prime numberToCheckber"); } }
预期输出
17 Divided by 2 gives a remainder 1 17 Divided by 3 gives a remainder 2 17 Divided by 4 gives a remainder 1 17 Divided by 5 gives a remainder 2 17 Divided by 6 gives a remainder 5 17 Divided by 7 gives a remainder 3 17 Divided by 8 gives a remainder 1 17 is a Prime numberToCheckber
查看我们的程序,查找1 到 100 之间的素数