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題目概要：
計算出題目規定範圍內的GCD所有總和。
解題方向：
使用輾轉相除法求出GCD，並全部加總即是答案。
程式碼：
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| //Java | |
| import java.util.Scanner; | |
| class uva11417{ | |
| public static void main(String args[]){ | |
| Scanner sc=new Scanner(System.in); | |
| int num; | |
| while((num=sc.nextInt())!=0){ | |
| int ans=0; | |
| for(int i=1;i<num;i++){ | |
| for(int j=i+1;j<=num;j++){ | |
| ans+=gcd(i,j); | |
| } | |
| } | |
| System.out.println(ans); | |
| } | |
| } | |
| public static int gcd(int a,int b){ | |
| while(a!=0 && b%a!=0){ | |
| int temp=b; | |
| b=a; | |
| a=temp%a; | |
| } | |
| return a; | |
| } | |
| } |
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