Programming-Cpp
Tasks studies - laboratory
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Examples
Task. 1.
Write an algorithm/program that checks which of the 99 numbers entered from the keyboard are divisible by 5.
Task. 2.
Write an algorithm/program that checks whether the number entered from the keyboard is prime.
Task. 3.
Write an algorithm/program that calculates the product 246…2n for any defined n belonging to N - provided by the user.
Task. 4.
Write a program that, after entering the number n, prints the sum of even numbers less than n.
Task. 5.
Write an algorithm/program that solves the equation 𝑎𝑥 + 𝑏 = 1 after the user enters the numbers 𝑎 and 𝑏.
Task. 6.
Write an algorithm/program that calculates the value of 𝑎𝑏 for the entered nonzero integer/natural numbers 𝑎 and 𝑏.
Task. 7.
Write an algorithm/program that will allow you to enter 5 numbers and print the sum of the entered positive numbers and their quantity.
Task. 8.
Write a program for the following algorithm
Task. 9.
The data is n natural. Write an algorithm/program that will determine the n initial terms of the sequence defined as follows: 𝑎1 = 2, 𝑎𝑘+1 = 1 + 2𝑎𝑘 for 𝑘 ≥ 2.
Task. 10.
Write a program that solves the equation 𝑎𝑥2 + 𝑏𝑥 = 1 after the user enters the numbers 𝑎 and 𝑏.
Task. 11.
Write a program for the following algorithm:
Task. 12.
Write a program for the following algorithm:
Task. 13.
Write a program/algorithm that sums the numbers entered by the user until the user enters 0, and then prints the resulting sum and the number of numbers entered (including zero/non-zero).
Task. 14.
Write a program/algorithm that prints all the divisors of the number entered by the user.
Task. 15.
Write a program/algorithm to calculate the least common divisor.
Task. 16.
Write a program/algorithm to calculate the greatest common divisor.
Task. 17.
Write a program/algorithm to calculate the least common multiple.
Task. 18.
Write a program/algorithm that finds all prime factors of a given number
Task. 19.
Twin numbers are two prime numbers 𝑝 and 𝑞 such that 𝑞=𝑝+2. Write a program/algorithm that finds the first 20 pairs of twin numbers.
Task. 20.
Write a program/algorithm that finds the five smallest natural numbers 𝑛, such that the number 𝑛2−1 is the product of three different prime numbers.
Task. 21.
Write a program/algorithm that checks whether two given numbers are prime.
Task. 22.
Write a program/algorithm that calculates the sum of the digits of a given natural number.
Task. 23.
A 𝑛-digit Armstrong number is a natural number equal to the sum of the 𝑛-th powers of its digits. Write a program/algorithm that calculates all two-digit (𝑘-digit) Armstrong numbers.
Task. 24.
Write a program/algorithm that determines the area of a rectangle with a given