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!