Problems

Here are the problem-solving sections for this chapter.

1. Sum of naturals divisible by 3 and 5

Write a program that calculates and prints the sum of all the natural numbers divisible by either 3 or 5, up to a given limit entered by the user.

2. Greatest common divisor

Write a program that, given two positive integers, will calculate and print the greatest common divisor of the two.

3. Least common multiple

Write a program that will, given two or more positive integers, calculate and print the least common multiple of them all.

4. Largest prime smaller than given number

Write a program that computes and prints the largest prime number that is smaller than a number provided by the user, which must be a positive integer.

5. Sexy prime pairs

Write a program that prints all the sexy prime pairs up to a limit entered by the user.

6. Abundant numbers

Write a program that prints all abundant numbers and their abundance, up to a number entered by the user.

7. Amicable numbers

Write a program that prints...