#include <stdio.h>
#include <stdlib.h>

//Universidade de Brasília
//Campus UnB Gama (FGA)

//EXERCÍCIOS DE PROGRAMAÇÃO PARA A NOTA P1
//DATA LIMITE DE ENTREGA: 04/12/2024
//PONTUAÇÃO: 2,0 

//Aluno: Henrique Fontenelle Galvão dos Passos
//Matrícula: 231030771
//Professora Doutora: Cristiane Loesch de Souza Costa

//Divisibilidade
//Implementar

//6) Algoritmo de Euclides para o Cálculo de MDC e MMC

#include <stdio.h>

int mdc(int a, int b) {
    
    if (a < b) {
        int temp = a;
        a = b;
        b = temp;
    }

    if (b == 0)
        return a;
        
    // MDC(b, resto da divisão de a por b)
    printf("%d = %d * %d + %d\n", a, b, a/b, a%b);  // imprime a etapa
    return mdc(b, a % b);
}

int mmc(int a, int b, int mdc_valor) {
   return (a * b) / mdc_valor;
}

int main() {
    int num1, num2;
    
    printf("Digite dois números positivos para calcular o MDC e o MMC: \n");
    scanf("%d %d", &num1, &num2);

    printf("\nCálculo do MDC(%d,%d) usando Algoritmo de Euclides:\n", num1, num2);
    int resultado_mdc = mdc(num1, num2);
    int resultado_mmc = mmc(num1, num2, resultado_mdc);

    printf("\n");
    printf("MDC(%d,%d) = %d\n", num1, num2, resultado_mdc);
    printf("MMC(%d,%d) = %d\n", num1, num2, resultado_mmc);

    return 0;
}

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About C

C language is one of the most popular general-purpose programming language developed by Dennis Ritchie at Bell laboratories for UNIX operating system. The initial release of C Language was in the year 1972. Most of the desktop operating systems are written in C Language.

Key features:

  • Structured Programming
  • Popular system programming language
  • UNIX, MySQL and Oracle are completely written in C.
  • Supports variety of platforms
  • Efficient and also handle low-level activities.
  • As fast as assembly language and hence used as system development language.

Syntax help

Loops

1. If-Else:

When ever you want to perform a set of operations based on a condition if-else is used.

if(conditional-expression) {
   // code
} else {
   // code
}

You can also use if-else for nested Ifs and if-else-if ladder when multiple conditions are to be performed on a single variable.

2. Switch:

Switch is an alternative to if-else-if ladder.

switch(conditional-expression) {    
case value1:    
 // code    
 break;  // optional  
case value2:    
 // code    
 break;  // optional  
...    
    
default:     
 // code to be executed when all the above cases are not matched;    
}

3. For:

For loop is used to iterate a set of statements based on a condition.

for(Initialization; Condition; Increment/decrement){  
  // code  
}

4. While:

While is also used to iterate a set of statements based on a condition. Usually while is preferred when number of iterations are not known in advance.

while(condition) {  
 // code 
}

5. Do-While:

Do-while is also used to iterate a set of statements based on a condition. It is mostly used when you need to execute the statements atleast once.

do {
  // code 
} while (condition);

Arrays

Array is a collection of similar data which is stored in continuous memory addresses. Array values can be fetched using index. Index starts from 0 to size-1.

Syntax

One dimentional Array:

data-type array-name[size];

Two dimensional array:

data-type array-name[size][size];

Functions

Function is a sub-routine which contains set of statements. Usually functions are written when multiple calls are required to same set of statements which increases re-usuability and modularity.

Two types of functions are present in C

  1. Library Functions:

Library functions are the in-built functions which are declared in header files like printf(),scanf(),puts(),gets() etc.,

  1. User defined functions:

User defined functions are the ones which are written by the programmer based on the requirement.

How to declare a Function

return_type function_name(parameters);

How to call a Function

function_name (parameters)

How to define a Function

return_type function_name(parameters) {  
  //code
}