Cunningham hit 6 of 7 shots from the field and Martin knocked down 5 of 7 as the Gamecocks (5-2) connected on 30 of 56 attempts.
Branden Johnson was the lone player in double figures for the Hornets (0-8) with 10 points. He added seven rebounds. Alabama State made just 22 of 62 shots (35.5 percent) from the field, but connected on 20 of 22 free throws (90.9 percent).
Jacksonville State trailed 14-12 midway through the first half, but Martin made back-to-back layups to spark a 13-0 run and the Gamecocks led 37-22 at the half. Maurice Dunlap's 3-pointer stretched the lead to 29 points with 12 minutes to play and the Gamecocks cruised from there.
Alabama State has lost 15 in a row, the longest active losing streak in Division I.
Jason Burnell had four of Jacksonville State's 11 blocked shots.
UT Rio Grande Valley holds off Prairie View, wins 79-57
Lesley Varner II scored 15 points and grabbed 10 rebounds as Texas-Rio Grande Valley rode a 10-point first-half lead to a 79-57 victory over Prairie View A&M on Wednesday night.
Ex-LSU asst.: Zion Williamson 'probably the best damn tight end to ever live'
Former LSU assistant Eric Mateos said he made Zion Williamson a football scholarship offer after watching his viral court feats a couple of years ago but that he never heard back from the Duke sensation.
Smith hammers down dunk
Rob Phinisee bounces it to a cutting Justin Smith who hammers it down and gives Indiana a 49-34 lead.