The Portland Trailblazers have completed drafting, and have come away with the following players: G-F Brandon Rush, G Kyle Weaver, F-C Nikola Pekovic, and SG JR Giddens. In real life, NOH traded me their #27 pick for cash, which turned out to be Serge Ibaka.*

Their roster, by position, is now:
PG: Steve Blake, Jarrett Jack, Sergio Rodriguez, Kyle Weaver
SG: Brandon Roy, Brandon Rush, JR Giddens
SF: Martell Webster, Travis Outlaw, James Jones
PF: Lamarcus Aldridge, Channing Frye, Serge Ibaka*, Josh McRoberts
C: Greg Oden, Joel Przybilla, Nikola Pekovic, Raef Lafrentz

Which leaves them with 18* players. They would have to trade four players for one in order to get at the maximum of 15 players on a roster.
I smell big things coming for the Blazers, likely involving a trade featuring Lafrentz's expiring contract.