حل lab3 برمجة1 جامعة الامام

Lab 3 (1 page, 6 Exercises)

Exercise 1

Write a C++ program that computes n^p where n and p are two numbers given by the user.

#include <iostream>
#include <cmath>
using namespace std;

int main() {
    int n, p,power=1;
    cout << "Enter n and p: ";
    cin >> n >> p;
    for(int i=1;i<=p;i++)
    power=power*n;
    cout << n << "^" << p << " = " << power << endl;
    return 0;
}

Exercise 2

Write a C++ program that computes the sum of the cubes between 1 and n^3 where n is given by the user.

#include <iostream>
using namespace std;

int main() {
    int n;
    int sum = 0;

    cout << "Enter a positive integer n: ";
    cin >> n;

    if (n <= 0) {
        cout << "Please enter a positive integer greater than 0." << endl;
        return 1;
    }

    for (int i = 1; i <= n; i++) {
        sum += i * i * i;
    }

    cout << "The sum of cubes from 1^3 to " << n << "^3 is: " << sum << endl;

    return 0;
}

Exercise 3

Write a C++ program that counts the number of divisors of a number n given by the user.

#include <iostream>
using namespace std;

int main() {
    int n;
    int count = 0;

    cout << "Enter a positive integer n: ";
    cin >> n;

    if (n <= 0) {
        cout << "Please enter a positive integer greater than 0." << endl;
        return 1;
    }

    for (int i = 1; i <= n; ++i) {
        if (n % i == 0) {
            count++;
        }
    }

    cout << "The number of divisors of " << n << " is: " << count << endl;

    return 0;
}

Exercise 4

Write a C++ program that determines whether two numbers n and p given by the user are co-prime or not.

#include <iostream>
using namespace std;

int main() {
    int n, p;
    int a, b;

    cout << "Enter the first number n: ";
    cin >> n;
    cout << "Enter the second number p: ";
    cin >> p;

    if (n <= 0 || p <= 0) {
        cout << "Please enter positive integers only." << endl;
        return 1;
    }

    a = n;
    b = p;

    // Compute GCD using Euclid's algorithm inside main
    while (b != 0) {
        int temp = b;
        b = a % b;
        a = temp;
    }

    if (a == 1) {
        cout << n << " and " << p << " are co-prime." << endl;
    } else {
        cout << n << " and " << p << " are NOT co-prime." << endl;
    }

    return 0;
}

Exercise 5

Write a C++ program that prints the list of characters between two characters a and b given by the user.

#include <iostream>
using namespace std;

int main() {
    char a, b;

    cout << "Enter the first character a: ";
    cin >> a;
    cout << "Enter the second character b: ";
    cin >> b;

    if (a > b) {
        cout << "First character must come before or be equal to the second character." << endl;
        return 1;
    }

    cout << "Characters from " << a << " to " << b << " are: ";
    for (char c = a; c <= b; ++c) {
        cout << c << " ";
    }
    cout << endl;

    return 0;
}

Exercise 6

Write a C++ program that computes nth term of the following sequence:

U0 = 1; Un+1 = 2*Un+1.

#include <iostream>
using namespace std;

int main() {
    int n;
    int U = 1; // U0 = 1

    cout << "Enter the value of n (n >= 0): ";
    cin >> n;

    if (n < 0) {
        cout << "Please enter a non-negative integer." << endl;
        return 1;
    }

    for (int i = 0; i < n; ++i) {
        U = 2 * U + 1;
    }

    cout << "The " << n << "-th term of the sequence is: " << U << endl;

    return 0;
}