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!