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TP-NSM/python/prime/prime.py
2022-10-10 13:00:38 +02:00

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Python

def factor_decomposition(n):
p = 2
dec = {}
# print(n,"= ",end="")
while n >= p * p:
if n % p == 0:
if p in dec:
dec[p] += 1
else:
dec[p] = 1
# print(p, "* ", end="")
n /= p
else:
p += 1
# print(n)
if n in dec:
dec[n] += 1
else:
dec[n] = 1
return dec
def phi(n):
sol = 1
dec = factor_decomposition(n)
for (p, a) in dec.items():
sol *= (p**(a-1))*(p-1)
return sol
if __name__ == '__main__':
print(factor_decomposition(85))
print(factor_decomposition(1200))
print(factor_decomposition(11011))
print(phi(9))
print(phi(85))