Leslie also grabbed eight rebounds for the Wolfpack (11-2).
Scott Wood and Lorenzo Brown each contributed 15 points in the victory.
The Spartans (2-9) were led by Kayel Locke with 21 points.
Derrell Armstrong (16 points) and Kelvin McNeal (10, 10 rebounds) also reached double figures for UNC-Greensboro.
Celebrity Breakups and divorces of 2014 [PHOTOS]