输入两个整数num1和num2，请你设计一个程序，计算并输出它们的和、差、积、整数商及余数。java

在Java中，你可以创建一个名为`Calculator`的简单类，包含静态方法来分别计算两个整数的和、差、积、商和余数。下面是一个简单的示例：

public class Calculator {

    // 计算两数之和
    public static int add(int num1, int num2) {
        return num1 + num2;
    }

    // 计算两数之差
    public static int subtract(int num1, int num2) {
        return num1 - num2;
    }

    // 计算两数之积
    public static int multiply(int num1, int num2) {
        return num1 * num2;
    }

    // 计算两数除法，整数商
    public static int divide(int num1, int num2) {
        if (num2 != 0) {
            return num1 / num2;
        } else {
            throw new IllegalArgumentException("Division by zero is not allowed.");
        }
    }

    // 计算两数除法，余数
    public static int remainder(int num1, int num2) {
        if (num2 != 0) {
            return num1 % num2;
        } else {
            throw new IllegalArgumentException("Division by zero is not allowed.");
        }
    }
}

然后你可以这样使用这个类：

public class Main {
    public static void main(String[] args) {
        int num1 = 10, num2 = 5;
        System.out.println("Sum: " + Calculator.add(num1, num2));
        System.out.println("Difference: " + Calculator.subtract(num1, num2));
        System.out.println("Product: " + Calculator.multiply(num1, num2));
        System.out.println("Quotient: " + Calculator.divide(num1, num2));
        System.out.println("Remainder: " + Calculator.remainder(num1, num2));
    }
}