Какое число надо удалить из набора 1, 2, 3,.... 9, чтобы наименьшее общее кратное оставшихся чисел было самым маленьким из возможных.
найдём наименьшее общее кратное всех чисел:
1=1
2=2*1
3=3*1
4=2*2
5=5*1
6=2*3
7=7*1
8=2*2*2
9=3*3
НОК(1-9)= 2*2*2*3*3*5*7
произведение будет если убрать наибольший простой множитель, т.е. 7
Ответ: 7
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