quanti zeri ha 1000! ovvero mille fattoriale

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Algo and Math

06
Mag

quanti zeri ha 1000! ovvero mille fattoriale

by pasquale.clarizio |
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C'è la formula

Σκ[n/(5^(k+1))]

Che è valida fino a quando 5^(k+1)>n

Infatti [1000/5]+[1000/25]+

[1000/125]+[1000/625]=

200+40+8+1=249

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pasquale.clarizio

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