10-26 Exercise 1: Calculates and displays the GCD of 2 integers

Question

Write a program that asks the user to enter two integers, then calculates and displays their greatest common divisor (GCD).

寫一個輸入兩個整數 輸出它們的最大公因數程式

Hint: Use Euclidean Algorithm

使用歐幾里得演算法

Example input: 

12 28

Example output:

4

 

Answer 1

Hidden content!
* **  * *     *    **  

int  *   
{
int a, b;
** **         * **     * **      *
***  * *** *  **   ***   * *
{
   * ***  **
** *
else
 ****
}
*   ***
 * *  **   *   ***   ** **
else
*      * * **** *** 

***  0;
}

Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output
Case 4: Correct output

Answer 2

Hidden content!
  ** **     ** * *   *  *
int main (void)
{
int a,b,c;
* * * ** **  **      * 
*  ** ***  *** *** * * *   *  
while ( a % b != 0){
*** * *  *        ****  * **  
 ****      * *** * *** *    * ** 
 *** *     * ***         *
}
     *    *** *   **  * *
}

Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output
Case 4: Correct output

Answer 3

Hidden content!
#include <stdio.h>
#include **   **      * * ***
int a,b;
int i;
int GCD=0;
int remainder, coefficient;
int main()
{
 * ****   ***  *  * *  *   *      * *   *  * **   ** ** **  * ** ***** 
 *  ** ** ****  **    *   ** ** = a % b;
** * *  * **** ***  *   *  ** (b!=0){
   * * ** **    *  **** *   * ***   ****    *  *** ****  *  *  ***
* ***  *  **  ***     * *  **   *  * * * * *******  *      ***** 

   ** ** ** * ****  **    **** **          **** *** **  **
****   *  * * **  ***** * * *      ** * * **    *  * * ** *

  ***  ** **** ** ****    
*  ** * *  *** *   ***  ** (a==0){GCD=b;}
* * ***   *  ** *  ** ** * * * (b==0){GCD=a;}
*  *   *   *  ***  ** *  ** * * **** *  *    * * ****
 *** *    * ** * *  *** **     0;
}

Comments

prog.c:6:5: error: built-in function 'remainder' declared as non-function [-Werror]
 int remainder, coefficient;
     ^~~~~~~~~
cc1: all warnings being treated as errors

Answer 4

Hidden content!
#include *** *       **
int main(void)

{
   *  ****  *   *          **  a1, a2, i, gcd;


* * ** *** * *   *** **  *** *  **  * %d", &a1, *   ** *

* *** *  ****    *      ***   * * *   i <= a1     **  *  i <= a2; ++i)
*   ** ** ********    *  ** **
  *  ** * *****    *****  *    **  **    * *  *    * ***   ***  ** ** *  a2%i==0)
**  ***     ***    *   *  ****   ****   * *  ***    ** *  **  *** **  * ***  **  *   = i;
******     * * * *   

  * *  **  * ** ** **  * *   * * ***  * * ***  gcd);

* *   * ** * * * ** *  ***     * * 0;
}

Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output
Case 4: Correct output

Answer 5

Hidden content!
#include<stdio.h>
int main()
{
**  *** *   *  **   *  ** * **  a,b,c;
 * **** **** * * *  **** *   * ** %d",&a,&b);
* **  * **   * * * ****** *  (a%b!=0)
    *  **   *  * ** ** 
**   *     * *****   **    * ** *     *   **   ** *  
* * ** ****   **  *  * ***  *        *  ** *****  * * *   
 *  **  *      *     ***  ****** * *********  *** * *
 * * *****  *  *  ******
**    *  ****   * **** *  * * *** *  **    ***  
* * * *  *** * *   **  ******  0;
}

Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output
Case 4: Correct output

Answer 6

Hidden content!
**  *       * **   *
int main (void)
{
int a,b,c;
** * *   ***** **  *  ***     
  *   ** * *  ***   ****
while ( a % b != 0){
 *  * ***  **   *       ***  ** ** *
** **  * ***    *  * * * *** *  
   *   *  *   *******   **** *** 
}
 ** *** * ** * ** ** 
}

Comments

Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output
Case 4: Wrong output

Answer 7

Hidden content!
#include<stdio.h>
int main()
{
    * *  * ****  * *     *  a,b,c;
*** * * * *** ** **  * ** *   * *  * %d",&a,&b);
  *  * *** **  *  ****  **  * (a%b!=0)
     **       ** *****        
      **** *   *     **** *  *  *** ****  * * * ** * * ****
* ***** **** *    ***  ***   ***** * ** **** *  *   *
***   *  ***   ** ** *****      **** * * *   *** **  **
** ******* * *    ** ** ** **** 
* ****   ***    *  * * * *   ** *  * * *   *  **  *
**  *  *  *  ****  **  *  0;
}

Comments

Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output
Case 4: Wrong output

Answer 8

Hidden content!
#include *    ***  * **  
int *** **
{
    ** **   ** int a,b;
 ** **  * *  *   * **  ***   ***   * *   **  *  ***
   * * * **   *  
 ** *  * *    *  
**** *  *    ***  * ***
**  ***   **** {
 ** * *  *** * *  * *     *   int c=a%b;
** *    ** ***  *     **      a=b;
*  **     *      *  *    *    ** b=c;
 *   *  * ***     *     *      
** ** *   }
***  *        *  
    ***** **      * *** 
return **** **      * *** 
   * * *  * *    
   *  ** ** **  * 
* **  *  * **   
}

Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output
Case 4: Correct output

Answer 9

Hidden content!
#include<stdio.h>

int main() {
 ***     *** **   ** **** * ** a, b, tmp;
  * * ** * ***   *  * *** *     ** %d", &a, &b);
   * *   * ** ** ******   *     * {
   *  * *  ****  **   **  * * **    * ** *  *    *   
*   *  ***   ** *****    *       *       ***  ** **     ****
   ******  ** * * * * *     * *     ** ***** *    *  ***  *   
 ***    * * ******** * ** *** 
*  ***   ***** * *     **   ** * * *   ******* b);
}

Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output
Case 4: Correct output

---

great!