(Algebra: perfect square

)

Write a program that prompts the user to enter an integer

m

and find the smallest integer

n

such that

m * n

is a perfect square.

(Hint: Store all smallest factors of

m

into an array list.

n

is the product of the factors that appear an odd number of times in the array list.

For example, consider

m

= 90, store the factors 2, 3, 3, 5 in an array list. 2 and 5 appear an odd number of times in the array list. So,

n

is 10.)

Sample Run 1

Enter an integer m: 1500

The smallest number n for m x n to be a perfect square is 15

m x n is 22500

Sample Run 2

Enter an integer m: 63

The smallest number n for m x n to be a perfect square is 7

m x n is 441

Class Name:

Exercise11_17

Answer is :

import java.util.Scanner;

public class Squares { public static void main(String[] args) { Scanner scan = new Scanner(System.in); //instantiation of Scanner that will take inputs from the keyboard

//the try catch block below is for trapping error with the input try { System.out.print("Enter an integer m: "); //prompts the user to enter a number int m = scan.nextInt(); //stores the user input to m int n = 0; //initializing n for(int i=1; ; i++) { //this loop only ends with the 'break keyword' which is why the 2nd argument is blank int product = i * m; double squareRoot = Math.sqrt(product); if(squareRoot - Math.floor(squareRoot) == 0) { //when the square root is just a whole number(when decimal part is just zero), it is a perfect square n = i; break; //loop ends here } } System.out.println("The smallest number n for m * n to be a perfect square is " + n); //prints out n System.out.println("m * n is " + (m*n)); //prints out product of m and n }catch(IllegalArgumentException e) { System.out.println("Invalid input!"); //prints out error message } } }

But after that its showing the follwoing :

Exercise11_17.java:5: error: class Squares is public, should be declared in a file named Squares.java

public class Squares {

1 error

What Am i doing wrong? Can you correct me? Thank You