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¶¨Ò壺Éèa¶ÔbµÄ³Ë·¨ÄæÔªÊÇxÔò¿ÉÒÔ¼ÇΪa*x=1 mod b£¬¼´aºÍxµÄ»ý³ýÒÔbµÄÓàÊýÊÇ1£»
 
³Ë·¨ÄæÔª³£ÓÃËã·¨ÊÇÅ·¼¸ÀïµÂËã·¨£º
 
//Ëã·¨Çód¹ØÓÚÄ£fµÄ³Ë·¨ÄæÔªd-1 £¬¼´ d* d-1 mod f = 1
 
¡¡¡¡1 ¡£(X1£¬X2£¬X3) := (1£¬0£¬f)£» (Y1£¬Y2£¬Y3) := (0£¬1£¬d)
¡¡¡¡2¡£ if (Y3=0) then return d-1 = null //ÎÞÄæÔª
¡¡¡¡3¡£ if (Y3=1) then return d-1 = Y2 //Y2ÎªÄæÔª
¡¡¡¡4¡£ Q := X3 div Y3 //Õû³ý
¡¡¡¡5¡£ (T1£¬T2£¬T3) := (X1 - Q*Y1£¬X2 - Q*Y2£¬X3 - Q*Y3)
¡¡¡¡6 ¡£(X1£¬X2£¬X3) := (Y1£¬Y2£¬Y3)
¡¡¡¡7¡£ (Y1£¬Y2£¬Y3) := (T1£¬T2£¬T3)
8¡£ goto 2
 
³£ÓÃÓÚ¼ÓÃÜËã·¨ÖУ¬Èç·ÂÉäËã·¨¡£
 
²ÉÓÃÀ©Õ¹Å·¼¸ÀïµÂËã·¨
 
Ê×ÏÈ,Å·¼¸ÀïµÂËã·¨ÓÖ³ÆÕ·×ªÏà³ý·¨,ÓÃÓÚÇó×î´ó¹«Ô¼Êý,Ëã·¨ÈçÏÂ:
int Gcd(int a, int b)
{
    if(b == 0)
        return a;
    return Gcd(b, a % b);
}
 
ÇóÒ»¸öÊý¶ÔÁíÒ»¸öÊýµÄ³Ë·¨ÄæÔªËã·¨ÈçÏ£º
Typedef unsigned short int uint16£»
uint16 mulinv(uint16 b£¬uint16 a)      //ÇóÒ»¸öÕûÊýb¶ÔaµÄ³Ë·¨ÄæÔª
{
    int x1,x2,x3;
    int y1,y2,y3;
    int t1,t2,t3;
    x1=1;
    x2=0;
    x3=a;
    y1=0;
    y2=1;
    y3=b;
    int k;
    for(t3=x3%y3;t3!=0;t3=x3%y3){
        k=x3/y3;
        t2=x2-k*y2;
        t1=x1-k*y1;
        x1=y1;
        x2=y2;
        x3=y3;
        y1=t1;
        y2=t2;
        y3=t3;
    } 
    if(y2<0)
        y2+=a;
    if(y3==1)
        retu


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