program main
  implicit none
  type pair
     integer::x,y
  end type pair
  integer::N,K,i,j,tmp, shuffle=1
  integer::num(100)=(/(i,i=1,100)/)
  integer::group(100)
  type(pair)::bar(1000)
  data group/100*0/
  read *,N,K
  if(K.eq.0) then
     print '(i0)', 1
     return
  else
     read *,bar(1:K)
  end if

  !  print *, bar(1:K)
  do i=1,K
     tmp = num(bar(i)%x)
     num(bar(i)%x) = num(bar(i)%y)
     num(bar(i)%y) = tmp
  end do
  do i=1,N
     if(group(i).eq.0) then
        j = 0
        tmp = i
        do
           tmp = num(tmp)
           group(tmp) = 1
           j = j + 1
           if(tmp.eq.i) exit
        end do
        shuffle = lcm(shuffle, j)
     end if
  end do
  print '(i0)', shuffle
  !  print '(i0," ")',(num(i),i=1,N)
contains
  function lcm(a,b) result(c)
    integer,intent(in)::a,b
    integer::c
    c = (a*b)/gcd(a,b)
  end function lcm
  recursive function gcd(a,b) result(c)
    integer::a,b,c
    if(b.eq.0) then
       c = a
    else
       c = gcd(b,MOD(a,b))
    end if
  end function gcd
end program main