Leslie led Georgia (3-0) with 19 points on 7-of-10 scoring, followed by Price's 16 on 6-of-11. Dustin Ware and Gerald Robinson each added 10.
Saint Louis (1-2) led by 10, 37-27, at the half, but failed to score over a span of nearly 10 minutes to allow the Bulldogs back into it. After Georgia pulled to within just one, 44-43, with 10:11 left on a lay-up from Leslie, the teams began to battle for the lead for the remainder. A three for SLU's Kyle Cassity gave the Billikens a six-point lead, 55-49, with 5:06 left, but Georgia shaved it back to two on a dunk from Leslie with 2:48 to go.
A pair of free throws from Price tied it up at 57-57 with 1:22 on the clock and a Leslie jumper gave the Bulldogs the lead back, 59-57, with just 40 seconds to go. That's when Jett tied it to set up Price's last-second heroics, sending the Bulldogs to the win and snapping their 11-game road losing streak.
Leslie had 13 points in the second half alone. Robinson tallied eight assists on the night.
The Billikens were led by 19 from forward Rob Loe, while Cassity had 13.
Georgia will next head to the Ole Spice Classic, taking on Notre Dame in the first game Thurs., Nov. 25 at 7 p.m. in Orlando.