1×2×3×4×...×2009×2010 Hint: Consider the product of the first 5 integers.
问题描述:
1×2×3×4×...×2009×2010 Hint: Consider the product of the first 5 integers.
答
因数5的个数决定末尾0的个数
2010÷5=402个
2010÷25=80个(取整)
2010÷125=16个(取整)
2010÷625=3(取整)
402+80+16+3=501个
1×2×3×4×...×2009×2010末尾连续有501个0知道末尾有501个0=__00000000.....?=__00000000.....?这个没法计算答案=末尾连续有501个0?是末尾连续有501个0