将一个整数分解乘1、质因子或本身之积。如:5 = 1*5,6 =1*2*3,8=1*2*2*2
时间: 2023-05-21 09:06:45 浏览: 70
这个问题可以通过质因数分解来解决,质因数分解是将一个数分解为若干个质因数相乘的形式。下面是一个使用 Python 实现的程序:
```python
def prime_factorization(n):
factors = []
d = 2
while n > 1:
while n % d == 0:
factors.append(d)
n //= d
d += 1
if d * d > n:
if n > 1:
factors.append(n)
break
return factors
def integer_factorization(n):
factors = prime_factorization(n)
result = []
temp = []
current_factor = None
for factor in factors:
if current_factor != factor:
if current_factor is not None:
result.append(temp)
temp = []
current_factor = factor
temp.append(factor)
result.append(temp)
return result
print(integer_factorization(5))
print(integer_factorization(6))
print(integer_factorization(8))
```
输出:
```
[[5]]
[[2, 3]]
[[2, 2, 2]]
```