Loops

Objective:

In this assignment, you will create a Java program. Requirements are given below. This assignment will test your knowledge of Control Flow (Conditional) Statements and loops in Java.

Tasks:

1: Print a Multiplication Table

Write a program that uses nested for loops to print a multiplication table.

1	2	3	4	5	6	7	8	9	10	11	12
2	4	6	8	10	12	14	16	18	20	22	24
3	6	9	12	15	18	21	24	27	30	33	36
4	8	12	16	20	24	28	32	36	40	44	48
5	10	15	20	25	30	35	40	45	50	55	60
6	12	18	24	30	36	42	48	54	60	66	72
7	14	21	28	35	42	49	56	63	70	77	84
8	16	24	32	40	48	56	64	72	80	88	96
9	18	27	36	45	54	63	72	81	90	99	108
10	20	30	40	50	60	70	80	90	100	110	120
11	22	33	44	55	66	77	88	99	110	121	132
12	24	36	48	60	72	84	96	108	120	132	144

2: Find the Greatest Common Divisor

Write a program that prompts the user to enter two positive integers, and find their greatest common divisor (GCD).

• Examples:

  • Enter 2 and 4. The gcd is 2.

  • Enter 16 and 24. The gcd is 8.

• How do you find the gcd?

  • Name the two input integers n1 and n2.

  • You know number 1 is a common divisor, but it may not be the gcd.

  • Check whether k (for k = 2, 3, 4, and so on) is a common divisor for n1 and n2, until k is greater than n1 or n2.

3: Predict Future Tuition

Suppose the tuition for a university is $10,000 for the current year and increases by 7 percent every year. In how many years will the tuition be doubled?

Year	Tuition
0	$10,000
1	tuition = 1.07 * tuition
...	tuition = 1.07 * tuition
...	tuition = 1.07 * tuition
...
...	$20,000 or more

package PracticeAssignment;

import java.util.Scanner;

public class Loops {
    public static void main(String[] args) {
        // Print a Multiplication Table
        for (int i = 1; i <= 12; i++) {
            for (int j = 1; j <= 12; j++) {
                System.out.print((i * j) + " ");
            }
            System.out.println();
        }

        // Find the Greatest Common Divisor
        Scanner input = new Scanner(System.in);
        System.out.print("Enter n1: ");
        int n1 = input.nextInt();
        System.out.print("Enter n2: ");
        int n2 = input.nextInt();
        int commonDivisor = 1;
        int k = 2;
        while (true) {
            if (k > n1 || k > n2) {
                break;
            }
            if (n1 % k == 0 && n2 % k == 0) {
                commonDivisor = k;
            }
            k ++;
        }
        System.out.println("The gcd is " + commonDivisor);

        // Predict Future Tuition
        double tuition = 10000;
        int year = 0;
        while (true) {
            if (tuition >= 20000) {
                break;
            }
            tuition = 1.07 * tuition;
            year++;
        }
        System.out.println("Year " + year);
    }
}