密码学实验

• 效果
• 代码

import pandas as pd
import time

def Euler(n: int)-> list:
    if(n!=1):
        mul = n
        res = []
        factor = 2
        while(n!=1):
            if(n%factor==0):
                n = n / factor
                res.append(factor)
            else:
                factor += 1
        func = lambda x: 1-1/x
        res = list(map(func, list(set(res))))
        for i in res:
            mul *= i
        return round(mul)
    else:
        return 1
    
def Primitive_root(n: int)-> list:
    m = Euler(n)
    m_lt = []
    for i in range(1, m+1):
        m_lt.append(i)
    res = []
    for a in range(1, 19):
        func = lambda x: a**x%n
        temp = list(map(func, m_lt))
        if(len(set(temp))==m):
            res.append(a)
    return res

if __name__=='__main__':
    n = 19
    print(Primitive_root(n))