在Python中,整数拆分可以通过不同的方法实现,下面是一些常见的方法:
递归函数拆分
def partition(n, m):
if n == 0:
return [[]]
if n < m:
return []
result = []
for i in range(m, n + 1):
sub_partitions = partition(n - i, i)
for sub_partition in sub_partitions:
result.append([i] + sub_partition)
return result
字符串切片拆分
def split_integer_digits(m):
return [int(d) for d in str(m)]
均分成N等分
def split_integer(m, n):
assert n > 0
quotient = m // n
remainder = m % n
if remainder > 0:
return [quotient] * (n - remainder) + [quotient + 1] * remainder
return [quotient] * n
质因数分解
def reduceNum(n):
factors = []
for i in range(2, n + 1):
while n % i == 0:
factors.append(i)
n //= i
return factors
将整数拆分为指定数量的数字
def split_integer_into_parts(m, parts):
assert parts > 0
quotient = m // parts
remainder = m % parts
result = [quotient] * parts
if remainder > 0:
result[remainder - 1] += 1
return result