题解 | #快速幂#

快速幂

https://www.nowcoder.com/practice/defdedf4fe984c6c91eefa6b00d5f4f0

# https://zhuanlan.zhihu.com/p/95902286
"""
重要的是2点:
#####s1:
a^n = (1) n是奇数, a^(n-1) x a
      (2) 偶数, (a^n/2) ^2
######s2:
取模的公式:
(aXb)mod c = (a mod c x b mod c)mod c
"""
times = int(input())
listall = []

def quickpow(a,b,p):
    if b == 0:
        return 1
    if b%2==1:
        return quickpow(a, b-1,p) *a % p
    else:
        # 此步骤tmp不可省略,因为计算量减半
        tmp = quickpow(a,b/2,p)%p
        return tmp*tmp%p

for i in range(times):
    a,b,p = map(int, input().split())
    elema = quickpow(a,b,p)
    res = elema%p
    print(res)

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