Smith's dunk with 14:52 remaining made it a 42-24 contest in favor of Kansas State (4-2), which emerged from the break with a 13-4 scoring outburst to take control.
Davion Bradford's dunk gave Kansas State its first 20-point lead (47-27) and it pushed the margin as high as 66-38 with 4:18 left on a pair of foul shots from Smith.
Trey Hutcheson's layup with 6:35 left before intermission brought the Great Danes (1-6) into a tie at 17. But Markquis Nowell countered with a 3-pointer, Ismael Massoud a jumper, Kaosi Ezeagu made a layup and threw down a dunk and Pack made a layup in an 11-0 run and the Wildcats went to the break up 29-20.
Selton Miguel scored 12 points and grabbed 10 rebounds for Kansas State off the bench.
Devondre Perry scored 11 points for Albany (1-6).
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