¸ü¸ßЧÂʵÄA^B mod C
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#include <stdio.h>
#define LL unsigned long long int
inline LL mod(LL a,LL b)
{
while (a>=b)
a-=b;
return a;
}
//a*b mod c
inline LL MulAndMod(LL a, LL shl_b,LL c)
{
LL val,pre;
pre = mod(a,c);
val = 0;
while (shl_b)
{
if (shl_b&0x1)
val = mod(val + pre,c);
shl_b>>=1;
pre = mod(pre<<1,c);
}
return val;
}
inline LL A_BModC(LL a,LL shl_b,LL c)
{
LL val,pre;
if (shl_b&0x1) //¸ù¾Ý2ÏàÓ¦¶þ½øÖÆÎ»µÄÖµÅжÏÊÇ·ñ¼ÓA*2^n£»\\ÒòΪÓжÔb½øÐÐÓÒÒÆÔËË㣬ËùÒÔÿ´ÎÖ»ÐèÅжÏ×îĩλµÄ½á¹û¾Í¿ÉÒÔ¡£
val = mod(a,c);
else
val = 1;
shl_b >>= 1; //¼ÆËã A*2^nµÄÖµ¡£
pre = MulAndMod(a,a,c);
while (shl_b)
{
if (shl_b&0x1)
val = MulAndMod(val,pre,c);
shl_b>>=1;
pre = MulAndMod(pre,pre,c);
}
return val;
}
int main()
{
LL a,b,c;
while (scanf("%llu%llu%llu", &a,&b,&c)!=EOF)
printf("%llu\n", A_BModC(a,b,c));
return 0;
}
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