The question is would the defeated army- would the winning army kill all the defeated guys who were still on the battlefield at the time?

你问的是战败军,胜利的一方是否会杀死,战败但仍在战场上的敌人

耶鲁公开课 - 古希腊历史简介课程节选

Alexander defeated the Persian Army, which at that time controlled all of Asia Minor, Modern Turkey, and had even threatened to control Greece.

亚历山大大败波斯军队，波斯人当时控制了整个小亚细亚，现代土耳其，甚至扬言要占领希腊。

耶鲁公开课 - 新约课程节选

He defeated the Persian Army in Asia Minor at Granicus, the Battle of Granicus, in 334.

他在小亚细亚的格拉尼库斯击败波斯军队，也就是公元前334年的格拉尼库斯河战役。

耶鲁公开课 - 新约课程节选