用java,You may notice that entering a non-numeric value and clicking the ‘Check!’ button will cause a run-time error on the console. Therefore, your second task is to improve the application developed in Task 1 to ensure the user is only allowed to supply valid input values, i.e. a 4/5 number between 1 and 10 (inclusive). The application must still function as specified in Task 1 although you may remove the ‘Check!’ button if you wish.

以下是一个使用Java实现的改进版本，其中包含输入验证：

import java.util.Scanner;

public class ImprovedApplication {

    public static void main(String[] args) {
        Scanner scanner = new Scanner(System.in);
        int numerator = 0;
        int denominator = 0;

        // 输入验证
        boolean validInput = false;
        while (!validInput) {
            System.out.print("Enter numerator (between 1 and 10): ");
            numerator = scanner.nextInt();
            System.out.print("Enter denominator (between 1 and 10): ");
            denominator = scanner.nextInt();
            if (numerator >= 1 && numerator <= 10 && denominator >= 1 && denominator <= 10) {
                validInput = true;
            } else {
                System.out.println("Invalid input. Please enter numbers between 1 and 10.");
            }
        }

        // 计算结果
        int result = numerator * denominator;
        System.out.println("Result: " + result);
    }
}

在这个版本中，我们使用了一个 while 循环来验证输入。只有在用户输入的两个数字都在 1 到 10 的范围内时，才会退出循环并计算结果。如果用户输入了无效的数字，程序会提示用户重新输入，直到输入有效为止。这样可以确保程序不会出现运行时错误。