def isqrt(n):
    if n <= 0:
        return 0

    x = int((n ** 0.5) * (1 + 1e-14))
    while True:
        y = (x + n // x) // 2
        if y >= x:
            return x
        x = y

def smf_sieve(N):
    v = isqrt(N)
    assert v * v <= N < (v + 1) * (v + 1)
    smf = list(range(N + 1))
    for d in range(2, N + 1, 2):
        smf[d] = 2
    for p in range(3, v + 1, 2):
        if smf[p] != p:
            continue
        for d in range(p * p, N + 1, 2 * p):
            if smf[d] == d:
                smf[d] = p
    return smf

N, M = map(int, input().split())
A = map(int, input().split())

mod = 998244353

C = [0] * (M + 1)
smf = smf_sieve(M)
for a in A:
    a0 = a
    divs = [1]
    while a > 1:
        p = smf[a]
        r = [1]
        while smf[a] == p:
            a //= p
            r.append(r[-1] * p)
        divs = [d * q for d in divs for q in r]
    for d in divs:
        C[d] += 1
C = [pow(2, c, mod) - 1 for c in C]
M1 = M + 1
for i in range(M // 2, 0, -1):
    tmp = C[i]
    for n in range(i + i, M1, i):
        tmp -= C[n]
    C[i] = tmp % mod
for c in C[1:]:
    print(c)