我国汉初军事家韩信神机妙算,百战百胜。传说在一次战斗前为了弄清敌方兵力,韩信化装到敌警外侦察,隔着高大寨墙偷听里面正在练兵的敌军的情况,只听得按3人一行整队时量后剩零头2人,按5人一行整队时剩零头3人,7人一行整队时剩零头2人。据此韩信很快算出敌兵人数,于是针对敌情调兵遣将,一举击败了敌兵。聪明的你能否根据最小公倍数以及整除最小正整数原理,算出敌兵共有多少人? Early Han Han Dynasty military strategist Han Xin Miracle, victorious. Legend in order to clarify the enemy forces before a fight, Han Xin Hua Zhuangzeng enemy reconnaissance, intercepted through the towering walls of the enemy is being trained inside the case, only to hear the whole team by the amount of three people left after the fraction 2 People, according to the entire team of 5 people left a fraction of the remaining 3 people, 7 people left the entire line when the two odd parts. According to this, Han Xin quickly figured out the number of enemy soldiers, so he dispatched troops to defend against the enemy and defeated enemy soldiers in one fell swoop. Clever you can according to the least common multiple and the divisible least positive integer principle, calculate the total number of enemy soldiers?