حل lab4 برمجة1 جامعة الامام

Lab 4 (1 page, 6 Exercises)

Write a C++ program for each of the following exercises where you call the specified function.

Exercise 1

Write a C++ function f that computes f(x) where f(x) = x2 + x + 1.

#include <iostream>
using namespace std;

// Function to compute f(x) = x^2 + x + 1
int f(int x) {
    return x * x + x + 1;
}

int main() {
    int x;

    cout << "Enter an integer value for x: ";
    cin >> x;

    int result = f(x);
    cout << "f(" << x << ") = " << result << endl;

    return 0;
}

Exercise 2

Write a C++ function gcd that computes the greatest common divisor of two numbers n and p.

#include <iostream>
using namespace std;

// Function to compute the GCD of two integers using Euclidean algorithm
int gcd(int n, int p) {
    while (p != 0) {
        int temp = p;
        p = n % p;
        n = temp;
    }
    return n;
}

int main() {
    int n, p;

    cout << "Enter two integers: ";
    cin >> n >> p;

    int result = gcd(n, p);
    cout << "GCD of " << n << " and " << p << " is: " << result << endl;

    return 0;
}

Exercise 3

Write a C++ function that computes the maximum of three numbers x, y, and z.

#include <iostream>
using namespace std;

// Function to compute the maximum of three numbers
int maxOfThree(int x, int y, int z) {
    int max = x;

    if (y > max)
        max = y;
    if (z > max)
        max = z;

    return max;
}

int main() {
    int x, y, z;

    cout << "Enter three integers: ";
    cin >> x >> y >> z;

    int result = maxOfThree(x, y, z);
    cout << "The maximum of " << x << ", " << y << ", and " << z << " is: " << result << endl;

    return 0;
}

Exercise 4

Write a C++ function that computes the area and the perimeter of a rectangle of length l and width w.

#include <iostream>
using namespace std;

// Function to compute the area and perimeter of a rectangle
void computeRectangle(int l, int w, int &area, int &perimeter) {
    area = l * w;
    perimeter = 2 * (l + w);
}

int main() {
    int length, width;
    int area, perimeter;

    cout << "Enter the length and width of the rectangle: ";
    cin >> length >> width;

    computeRectangle(length, width, area, perimeter);

    cout << "Area: " << area << endl;
    cout << "Perimeter: " << perimeter << endl;

    return 0;
}

Exercise 5

Write a C++ iterative function that computes Un for a given n for the following sequence:

U0 = 2

Un+1 = Un+3

#include <iostream>
using namespace std;

// Iterative function to compute U_n
int computeUn(int n) {
    int Un = 2; // U0
    for (int i = 1; i <= n; ++i) {
        Un += 3;
    }
    return Un;
}

int main() {
    int n;
    cout << "Enter the value of n: ";
    cin >> n;

    int result = computeUn(n);
    cout << "U_" << n << " = " << result << endl;

    return 0;
}

Exercise 6

Write a C++ recursive function that computes Un for a given n for the following sequence:

U0 = 2

Un+1 = Un+3

#include <iostream>
using namespace std;

// Recursive function to compute U_n
int computeUn(int n) {
    if (n == 0)
        return 2; // Base case: U0 = 2
    else
        return computeUn(n - 1) + 3; // Recursive case
}

int main() {
    int n;
    cout << "Enter the value of n: ";
    cin >> n;

    int result = computeUn(n);
    cout << "U_" << n << " = " << result << endl;

    return 0;
}