1985 AIME Problem 1

Let x_1=97, and for n>1 let x_n=\frac{n}{x_{n-1}}. Calculate the product x_1x_2 \ldots x_8.

Leading zeroes must be inputted, so if your answer is 34, then input 034

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.