in c$++$ Write a menu that displays the following:$1-$ Calculate the series$2-$ GCD and LCM$3-$ ExitIf the user press $1$:The program should find the output of the following:fn$=\backslash$alpha $($x$1)\backslash$beta $(1!)+\backslash$alpha $($x$3)\backslash$beta $(3!)+...+\backslash$alpha $($xn$)\backslash$beta $($n$!)$ Where:n$,$x are user given numbers.$\backslash$alpha : sum of primes from $1$ to xi$\backslash$beta : sum of odd numbers from $1$ to i$!$use separate functions for power, factorial, alpha and beta.$$if user press $2$:the program should read $2$ numbers then prints the Greatest Common Divisor $($GCD$)$ and the Least Common Multiple $($LCM$)$if the user press $3$:the program stops and exits.$**$ the menu keeps displaying until the user press $3,$ the program prints invalid input if the user enters any value rather than $1,2,3$