The red, yellow, and blue elves are moving clockwise along a runway at the same time and at the same place at a constant speed. It takes 12 seconds, 8 seconds, and 9 seconds for the red, yellow, and blue elves to go around for a circle. Then in 1 hour, how many times can the red, yellow, and blue elves meet at the same time? (The initial state is also counted once)
红、黄、蓝三个小精灵，同一时间在同一地点按顺时针方向沿一条跑道匀速前进．绕行一周，红、黄、蓝三精灵各需12秒，8秒，9秒．那么在1小时内，红、黄、蓝三个小精灵共可同时相遇多少次？(起始状态也记为一次)
<gadget id="calculator">3_600 / 72</gadget>
<output>50</output>

<gadget id="calculator">50 + 1</gadget>
<output>51</output>

<result>51</result>